2657496608 has 54 divisors (see below), whose sum is σ = 5673455487. Its totient is φ = 1224787200.

The previous prime is 2657496601. The next prime is 2657496629. The reversal of 2657496608 is 8066947562.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1368112144 + 1289384464 = 36988^2 + 35908^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=36452.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2657496608.

It is not an unprimeable number, because it can be changed into a prime (2657496601) 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, 3790658 + ... + 3791358.

Almost surely, 2^2657496608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657496608

2657496608 is an abundant number, since it is smaller than the sum of its proper divisors (3015958879).

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

2657496608 is an frugal number, since it uses more digits than its factorization.

2657496608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The square root of 2657496608 is about 51550.9127756241. The cubic root of 2657496608 is about 1385.1311822988.

The spelling of 2657496608 in words is "two billion, six hundred fifty-seven million, four hundred ninety-six thousand, six hundred eight".