2501737056 has 384 divisors, whose sum is σ = 9185218560. Its totient is φ = 644806656.

The previous prime is 2501737037. The next prime is 2501737109. The reversal of 2501737056 is 6507371052.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2501737056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3694990 + ... + 3695666.

It is an arithmetic number, because the mean of its divisors is an integer number (23919840).

Almost surely, 2^2501737056 is an apocalyptic number.

2501737056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501737056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592609280).

2501737056 is an abundant number, since it is smaller than the sum of its proper divisors (6683481504).

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

2501737056 is a wasteful number, since it uses less digits than its factorization.

2501737056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 2501737056 is about 50017.3675436843. The cubic root of 2501737056 is about 1357.5230752160.

The spelling of 2501737056 in words is "two billion, five hundred one million, seven hundred thirty-seven thousand, fifty-six".