2600666400 has 72 divisors (see below), whose sum is σ = 8465176944. Its totient is φ = 693510400.

The previous prime is 2600666399. The next prime is 2600666429. The reversal of 2600666400 is 46660062.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 539406 + ... + 544205.

It is an arithmetic number, because the mean of its divisors is an integer number (117571902).

Almost surely, 2^2600666400 is an apocalyptic number.

2600666400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2600666400 is an abundant number, since it is smaller than the sum of its proper divisors (5864510544).

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

2600666400 is a wasteful number, since it uses less digits than its factorization.

2600666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083634 (or 1083621 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2600666400 is about 50996.7293068879. The cubic root of 2600666400 is about 1375.1863372812.

The spelling of 2600666400 in words is "two billion, six hundred million, six hundred sixty-six thousand, four hundred".