2657442816 has 440 divisors, whose sum is σ = 9511180800. Its totient is φ = 722608128.

The previous prime is 2657442803. The next prime is 2657442817. The reversal of 2657442816 is 6182447562.

2657442816 is a `hidden beast` number, since 26 + 574 + 42 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657442817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13353885 + ... + 13354083.

It is an arithmetic number, because the mean of its divisors is an integer number (21616320).

Almost surely, 2^2657442816 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 2657442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755590400).

2657442816 is an abundant number, since it is smaller than the sum of its proper divisors (6853737984).

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

2657442816 is a wasteful number, since it uses less digits than its factorization.

2657442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2657442816 is about 51550.3910363442. The cubic root of 2657442816 is about 1385.1218364757.

The spelling of 2657442816 in words is "two billion, six hundred fifty-seven million, four hundred forty-two thousand, eight hundred sixteen".