A quick search of Neoptian Times archive showed:
http://neopets.com/nf.phtml?nf_date=2007-01-01
The first issue in 2007, and hence first day when award was made in 2007. The issue states that answer was 125020, which by scanning the past conundrums hints it was LC# 197.
The one that finished today (and last award so far paid) was LC# 243
Hence there was 47 LC's this year so far for which NP's were awarded... Times 2,000,000 NPS for each LC... That's 94,000,000 NP's......
My logic: 197 may have started last year, but it finished this year, hence award was given in Y9. Since the question asks how many total NPS were awarded in a year, I counted it in....
Of course that's a very quick guess in a desperate attempt for that golden trophy.... So I may have missed something very important, because otherwise the LC seems almost too easy... Someone can check me?