2506656375 has 80 divisors (see below), whose sum is σ = 4948381152. Its totient is φ = 1258156800.

The previous prime is 2506656293. The next prime is 2506656379. The reversal of 2506656375 is 5736566052.

2506656375 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 6 + 5 + 637 + 5 = 666.

2506656375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2506656375 - 2¹⁹ = 2506132087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2506656375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506656379) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164844 + ... + 179406.

Almost surely, 2^2506656375 is an apocalyptic number.

2506656375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2506656375 is a deficient number, since it is larger than the sum of its proper divisors (2441724777).

2506656375 is a wasteful number, since it uses less digits than its factorization.

2506656375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14607 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The square root of 2506656375 is about 50066.5195015591. The cubic root of 2506656375 is about 1358.4122862594.

The spelling of 2506656375 in words is "two billion, five hundred six million, six hundred fifty-six thousand, three hundred seventy-five".