2657088672 has 48 divisors (see below), whose sum is σ = 7971268032. Its totient is φ = 759168000.

The previous prime is 2657088671. The next prime is 2657088683. The reversal of 2657088672 is 2768807562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2657088671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976329 + ... + 1977672.

It is an arithmetic number, because the mean of its divisors is an integer number (166068084).

Almost surely, 2^2657088672 is an apocalyptic number.

It is an amenable number.

2657088672 is an abundant number, since it is smaller than the sum of its proper divisors (5314179360).

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

2657088672 is a wasteful number, since it uses less digits than its factorization.

2657088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954021 (or 3954013 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The square root of 2657088672 is about 51546.9559916005. The cubic root of 2657088672 is about 1385.0603043421.

The spelling of 2657088672 in words is "two billion, six hundred fifty-seven million, eighty-eight thousand, six hundred seventy-two".