2586611664 has 320 divisors, whose sum is σ = 9621606400. Its totient is φ = 646092288.

The previous prime is 2586611641. The next prime is 2586611681. The reversal of 2586611664 is 4661166852.

2586611664 is a `hidden beast` number, since 2 + 586 + 6 + 1 + 1 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745197 + ... + 748659.

It is an arithmetic number, because the mean of its divisors is an integer number (30067520).

Almost surely, 2^2586611664 is an apocalyptic number.

2586611664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586611664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810803200).

2586611664 is an abundant number, since it is smaller than the sum of its proper divisors (7034994736).

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

2586611664 is a wasteful number, since it uses less digits than its factorization.

2586611664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3507 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2586611664 is about 50858.7422573543. The cubic root of 2586611664 is about 1372.7045626597.

The spelling of 2586611664 in words is "two billion, five hundred eighty-six million, six hundred eleven thousand, six hundred sixty-four".