2638037664 has 72 divisors (see below), whose sum is σ = 7760631060. Its totient is φ = 849020928.

The previous prime is 2638037657. The next prime is 2638037671. The reversal of 2638037664 is 4667308362.

2638037664 is a `hidden beast` number, since 2 + 638 + 0 + 3 + 7 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2638037657) and next prime (2638037671).

It can be written as a sum of positive squares in 2 ways, for example, as 2612027664 + 26010000 = 51108^2 + 5100^2 .

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 149577 + ... + 166280.

Almost surely, 2^2638037664 is an apocalyptic number.

2638037664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2638037664 is an abundant number, since it is smaller than the sum of its proper divisors (5122593396).

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

2638037664 is a wasteful number, since it uses less digits than its factorization.

2638037664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315902 (or 315891 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2638037664 is about 51361.8308084905. The cubic root of 2638037664 is about 1381.7421224273.

The spelling of 2638037664 in words is "two billion, six hundred thirty-eight million, thirty-seven thousand, six hundred sixty-four".