2506974624 has 576 divisors, whose sum is σ = 9510359040. Its totient is φ = 630789120.

The previous prime is 2506974623. The next prime is 2506974647. The reversal of 2506974624 is 4264796052.

It is a self number, because there is not a number n which added to its sum of digits gives 2506974624.

It is not an unprimeable number, because it can be changed into a prime (2506974623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31733817 + ... + 31733895.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^2506974624 is an apocalyptic number.

2506974624 is a gapful number since it is divisible by the number (24) 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 2506974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

2506974624 is an abundant number, since it is smaller than the sum of its proper divisors (7003384416).

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

2506974624 is a wasteful number, since it uses less digits than its factorization.

2506974624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2506974624 is about 50069.6976623586. The cubic root of 2506974624 is about 1358.4697725402.

The spelling of 2506974624 in words is "two billion, five hundred six million, nine hundred seventy-four thousand, six hundred twenty-four".