33902990240 has 144 divisors (see below), whose sum is σ = 93434487552. Its totient is φ = 11591225856.

The previous prime is 33902990201. The next prime is 33902990243. The reversal of 33902990240 is 4209920933.

It is a super-2 number, since 2×33902990240² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33902990243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871389 + ... + 2883171.

It is an arithmetic number, because the mean of its divisors is an integer number (648850608).

Almost surely, 2^33902990240 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 33902990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46717243776).

33902990240 is an abundant number, since it is smaller than the sum of its proper divisors (59531497312).

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

33902990240 is a wasteful number, since it uses less digits than its factorization.

33902990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 33902990240 in words is "thirty-three billion, nine hundred two million, nine hundred ninety thousand, two hundred forty".