2586668832 has 72 divisors (see below), whose sum is σ = 8024562000. Its totient is φ = 783838080.

The previous prime is 2586668789. The next prime is 2586668867. The reversal of 2586668832 is 2388666852.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405082 + ... + 411417.

It is an arithmetic number, because the mean of its divisors is an integer number (111452250).

Almost surely, 2^2586668832 is an apocalyptic number.

2586668832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2586668832 is an abundant number, since it is smaller than the sum of its proper divisors (5437893168).

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

2586668832 is a wasteful number, since it uses less digits than its factorization.

2586668832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816526 (or 816515 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 2586668832 is about 50859.3042815177. The cubic root of 2586668832 is about 1372.7146755289.

The spelling of 2586668832 in words is "two billion, five hundred eighty-six million, six hundred sixty-eight thousand, eight hundred thirty-two".