2565006408 has 48 divisors (see below), whose sum is σ = 6953719500. Its totient is φ = 854161920.

The previous prime is 2565006397. The next prime is 2565006443. The reversal of 2565006408 is 8046005652.

2565006408 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 0 + 640 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2560157604 + 4848804 = 50598^2 + 2202^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58548 + ... + 92508.

Almost surely, 2^2565006408 is an apocalyptic number.

It is an amenable number.

2565006408 is an abundant number, since it is smaller than the sum of its proper divisors (4388713092).

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

2565006408 is a wasteful number, since it uses less digits than its factorization.

2565006408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35022 (or 35015 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2565006408 is about 50645.8923112230. The cubic root of 2565006408 is about 1368.8719305403.

The spelling of 2565006408 in words is "two billion, five hundred sixty-five million, six thousand, four hundred eight".