2504635056 has 240 divisors, whose sum is σ = 8820864000. Its totient is φ = 644474880.

The previous prime is 2504635033. The next prime is 2504635087. The reversal of 2504635056 is 6505364052.

It is a happy number.

2504635056 is a `hidden beast` number, since 250 + 4 + 6 + 350 + 56 = 666.

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 2504635056.

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, 1251945 + ... + 1253943.

It is an arithmetic number, because the mean of its divisors is an integer number (36753600).

Almost surely, 2^2504635056 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 2504635056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432000).

2504635056 is an abundant number, since it is smaller than the sum of its proper divisors (6316228944).

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

2504635056 is a wasteful number, since it uses less digits than its factorization.

2504635056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2504635056 is about 50046.3290961485. The cubic root of 2504635056 is about 1358.0470556449.

The spelling of 2504635056 in words is "two billion, five hundred four million, six hundred thirty-five thousand, fifty-six".