2452564506 has 32 divisors (see below), whose sum is σ = 5711637888. Its totient is φ = 687510720.

The previous prime is 2452564501. The next prime is 2452564529. The reversal of 2452564506 is 6054652542.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2452564501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548665 + ... + 553116.

It is an arithmetic number, because the mean of its divisors is an integer number (178488684).

Almost surely, 2^2452564506 is an apocalyptic number.

2452564506 is an abundant number, since it is smaller than the sum of its proper divisors (3259073382).

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

2452564506 is a wasteful number, since it uses less digits than its factorization.

2452564506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101846.

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 2452564506 is about 49523.3733301761. The cubic root of 2452564506 is about 1348.5699545593.

The spelling of 2452564506 in words is "two billion, four hundred fifty-two million, five hundred sixty-four thousand, five hundred six".