The name Adam in the Bible
There are one man (as tradition dictates) and one town named Adam mentioned in the Bible.
Adam the town was situated in the territory of Manasseh, on the Jordan, close to Zarethan. It's where the waters of the Jordan collected in a heap, so that Israel could pass over on dry land (Joshua 3:16).
Adam the man is the husband of Eve and the first human male according to tradition (Genesis 2:20). Here at Abarim Publications, however, we see all that slightly different; see our article on The Chaotic Set Theory for the details.
What is certain is that God created the dust of the earth, gathered that dust into a vital composition, breathed into that composition His breath and Adam became a living being (Genesis 2:7). Much later, God promised Abraham that his offspring would be like the dust of the earth; like that elementary material from which God made all living things (Genesis 13:16). Later still, the apostle Paul explained that all those who are of faith are Abraham's offspring (Galatians 3:7). And indeed, God literally repeats Genesis 2:7 when He makes the church: he creates believers like the dust of the earth. Then he gathers them into a vital composition. Then He releases into them His Spirit and the church becomes a living being (Acts 2).
In the New testament, Adam (Αδαμ) is referred to as the set of which all members die, and Jesus as the sub-set of Adam in which all members shall be made alive (1 Corinthians 15:22). The first Adam became a living being; the last Adam became a life-giving spirit (1 Corinthians 15:45).
Etymology of the name Adam
The name Adam is the same as the noun אדם ('adam), which is used to mean man(kind):
The name Adam is obviously a touch complicated. Most directly, it means Acre Man, but since the word for acre is distilled from the action of producing agricultural crops, the name Adam really means Produce (as noun). But that root that covers the action of producing is also the same as the root that covers redness. That means that Adam is also Red Man. Since red is the color of blood (2 Kings 3:22) and also since the name Adam is the word דם (dom), meaning blood, with an aleph in front of it, and alephs sometimes appear in front of words without essentially altering the meaning, Adam also means Blood Man. And since blood is the seat of the soul (or rather: life), Adam is also Soul Man. All in all, the name Adam is probably best interpreted as Living Creature.
A name that may be a playful reference to the name Adam is Javan, Mud Man.