2564540451 has 24 divisors (see below), whose sum is σ = 4065911616. Its totient is φ = 1544721840.

The previous prime is 2564540449. The next prime is 2564540501. The reversal of 2564540451 is 1540454652.

2564540451 is a `hidden beast` number, since 2 + 5 + 64 + 540 + 4 + 51 = 666.

It is not a de Polignac number, because 2564540451 - 2¹ = 2564540449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2564540431) 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, 63325 + ... + 95598.

It is an arithmetic number, because the mean of its divisors is an integer number (169412984).

Almost surely, 2^2564540451 is an apocalyptic number.

2564540451 is a deficient number, since it is larger than the sum of its proper divisors (1501371165).

2564540451 is a wasteful number, since it uses less digits than its factorization.

2564540451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159103 (or 159100 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2564540451 is about 50641.2919562683. The cubic root of 2564540451 is about 1368.7890361295.

The spelling of 2564540451 in words is "two billion, five hundred sixty-four million, five hundred forty thousand, four hundred fifty-one".