2502968832 has 480 divisors, whose sum is σ = 9151414272. Its totient is φ = 640991232.

The previous prime is 2502968807. The next prime is 2502968843. The reversal of 2502968832 is 2388692052.

It is a happy number.

2502968832 is a `hidden beast` number, since 2 + 502 + 9 + 68 + 83 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19708353 + ... + 19708479.

Almost surely, 2^2502968832 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 2502968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575707136).

2502968832 is an abundant number, since it is smaller than the sum of its proper divisors (6648445440).

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

2502968832 is a wasteful number, since it uses less digits than its factorization.

2502968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2502968832 is about 50029.6795112661. The cubic root of 2502968832 is about 1357.7458390984.

The spelling of 2502968832 in words is "two billion, five hundred two million, nine hundred sixty-eight thousand, eight hundred thirty-two".