2657814916 has 27 divisors (see below), whose sum is σ = 4709825071. Its totient is φ = 1312358624.

The previous prime is 2657814871. The next prime is 2657814917. The reversal of 2657814916 is 6194187562.

It is a happy number.

The square root of 2657814916 is 51554.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5152900 + 2652662016 = 2270^2 + 51504^2 .

It is a Duffinian number.

Its product of digits (725760) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 2657814916.

It is not an unprimeable number, because it can be changed into a prime (2657814917) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15363006 + ... + 15363178.

Almost surely, 2^2657814916 is an apocalyptic number.

2657814916 is the 51554-th square number.

It is an amenable number.

2657814916 is a deficient number, since it is larger than the sum of its proper divisors (2052010155).

2657814916 is an equidigital number, since it uses as much as digits as its factorization.

2657814916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The cubic root of 2657814916 is about 1385.1864825555.

Multiplying 2657814916 by its sum of digits (49), we get a square (130232930884 = 360878²).

The spelling of 2657814916 in words is "two billion, six hundred fifty-seven million, eight hundred fourteen thousand, nine hundred sixteen".