2585608368 has 80 divisors (see below), whose sum is σ = 7796167680. Its totient is φ = 723022848.

The previous prime is 2585608343. The next prime is 2585608391. The reversal of 2585608368 is 8638065852.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2585608368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66073 + ... + 97656.

It is an arithmetic number, because the mean of its divisors is an integer number (97452096).

Almost surely, 2^2585608368 is an apocalyptic number.

2585608368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2585608368 is an abundant number, since it is smaller than the sum of its proper divisors (5210559312).

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

2585608368 is a wasteful number, since it uses less digits than its factorization.

2585608368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163794 (or 163788 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 2585608368 is about 50848.8777457281. The cubic root of 2585608368 is about 1372.5270579700.

The spelling of 2585608368 in words is "two billion, five hundred eighty-five million, six hundred eight thousand, three hundred sixty-eight".