2657640192 has 288 divisors, whose sum is σ = 7883495424. Its totient is φ = 791347200.

The previous prime is 2657640113. The next prime is 2657640197. The reversal of 2657640192 is 2910467562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657640197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37431517 + ... + 37431587.

It is an arithmetic number, because the mean of its divisors is an integer number (27373248).

Almost surely, 2^2657640192 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 2657640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941747712).

2657640192 is an abundant number, since it is smaller than the sum of its proper divisors (5225855232).

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

2657640192 is a wasteful number, since it uses less digits than its factorization.

2657640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2657640192 is about 51552.3053994678. The cubic root of 2657640192 is about 1385.1561279680.

The spelling of 2657640192 in words is "two billion, six hundred fifty-seven million, six hundred forty thousand, one hundred ninety-two".