I think that is a very original use of the word 'limited', limited in this case holds enough room for random chance to come up with human beings.
For all practical purposes that 'limited' might as well be unlimited.
I have a micro SD card, smaller than my little-finger nail that holds 4GB - x8 more than the human genome (using the article's figure of 4 billion bits). And that's pretty much the lowest capacity you can buy. Yet, that amount of information is limited/finite: the possible states that that memory can hold is limited/finite.
BTW: I found the absurdist levity in the top 10 comments or so of reddit version of this thread a welcome relief - and also some penetrating insights, concisely put: http://www.reddit.com/r/science/comments/d24c8/ray_kurzweil_...