aussieboy-
Thanks for your hint- I was actually looking at the prime factorization, (2*2*2*2*2*2*2*2*2*2*3*3*3*5*61843), and did not notice that it contains each of the numbers 0 – 9.
After you mentioned that each of the digits are there (and a couple of beers) it was a dead giveaway.
They are in alphabetical order.
Happy Purim to everyone!