2638517957088 has 96 divisors (see below), whose sum is σ = 7460167510656. Its totient is φ = 811712337408.

The previous prime is 2638517957087. The next prime is 2638517957111. The reversal of 2638517957088 is 8807597158362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638517957087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7213431 + ... + 7570377.

It is an arithmetic number, because the mean of its divisors is an integer number (77710078236).

Almost surely, 2^{2638517957088} is an apocalyptic number.

It is an amenable number.

2638517957088 is an abundant number, since it is smaller than the sum of its proper divisors (4821649553568).

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

2638517957088 is a wasteful number, since it uses less digits than its factorization.

2638517957088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362896 (or 362888 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 69.

The spelling of 2638517957088 in words is "two trillion, six hundred thirty-eight billion, five hundred seventeen million, nine hundred fifty-seven thousand, eighty-eight".