2502856688 has 80 divisors (see below), whose sum is σ = 5409296640. Its totient is φ = 1115778048.

The previous prime is 2502856679. The next prime is 2502856721. The reversal of 2502856688 is 8866582052.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 667523 + ... + 671261.

It is an arithmetic number, because the mean of its divisors is an integer number (67616208).

Almost surely, 2^2502856688 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 2502856688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704648320).

2502856688 is an abundant number, since it is smaller than the sum of its proper divisors (2906439952).

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

2502856688 is a wasteful number, since it uses less digits than its factorization.

With its successor (2502856689) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3888).

2502856688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 50.

The square root of 2502856688 is about 50028.5587239928. The cubic root of 2502856688 is about 1357.7255611360.

The spelling of 2502856688 in words is "two billion, five hundred two million, eight hundred fifty-six thousand, six hundred eighty-eight".