2506624506 has 48 divisors (see below), whose sum is σ = 5609448936. Its totient is φ = 808524288.

The previous prime is 2506624501. The next prime is 2506624511. The reversal of 2506624506 is 6054266052.

2506624506 is a `hidden beast` number, since 25 + 0 + 6 + 624 + 5 + 0 + 6 = 666.

2506624506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2506624501) and next prime (2506624511).

It can be written as a sum of positive squares in 4 ways, for example, as 2505503025 + 1121481 = 50055^2 + 1059^2 .

It is not an unprimeable number, because it can be changed into a prime (2506624501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51646 + ... + 87638.

Almost surely, 2^2506624506 is an apocalyptic number.

2506624506 is an abundant number, since it is smaller than the sum of its proper divisors (3102824430).

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

2506624506 is a wasteful number, since it uses less digits than its factorization.

2506624506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36127 (or 36124 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2506624506 is about 50066.2012339662. The cubic root of 2506624506 is about 1358.4065293973.

The spelling of 2506624506 in words is "two billion, five hundred six million, six hundred twenty-four thousand, five hundred six".