2001609792 has 280 divisors, whose sum is σ = 7304365376. Its totient is φ = 527772672.

The previous prime is 2001609787. The next prime is 2001609809. The reversal of 2001609792 is 2979061002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 469623 + ... + 473865.

Almost surely, 2^2001609792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652182688).

2001609792 is an abundant number, since it is smaller than the sum of its proper divisors (5302755584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001609792 is a wasteful number, since it uses less digits than its factorization.

2001609792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2001609792 is about 44739.3539515268. The cubic root of 2001609792 is about 1260.2589943788.

The spelling of 2001609792 in words is "two billion, one million, six hundred nine thousand, seven hundred ninety-two".