2000+ means a rating level 2000 or higher. Those numbers are used to decide what level you'd like the computer at. All players start out at a 1200 rating on the site, so maybe you'd be interested in trying that out first :)
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Yes, I was thinking the same thing, but I thought it was strange that the last level had a plus. In other words, ~1600 should also be 1600+ (that is, from 1600 to 2000) or 2000+ should be ~2000, just to be consistent. What I'm trying to say is: if you are putting a plus after 2000, then maybe it's playing at 2200 or maybe 2400 or maybe at the level of the chess program Houdini. Who knows?
As you know, the online computer opponent at chess.com has levels rated ~400, ~800, ~1200, ~1600, and 2000+. What does the plus sign mean? How could I use these games to estimate my playing ability?