2657484032 has 216 divisors, whose sum is σ = 6587828352. Its totient is φ = 1064448000.

The previous prime is 2657484007. The next prime is 2657484073. The reversal of 2657484032 is 2304847562.

2657484032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17599157 + ... + 17599307.

Almost surely, 2^2657484032 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 2657484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293914176).

2657484032 is an abundant number, since it is smaller than the sum of its proper divisors (3930344320).

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

2657484032 is a wasteful number, since it uses less digits than its factorization.

2657484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 2657484032 is about 51550.7907989781. The cubic root of 2657484032 is about 1385.1289973556.

The spelling of 2657484032 in words is "two billion, six hundred fifty-seven million, four hundred eighty-four thousand, thirty-two".