2657572416 has 126 divisors (see below), whose sum is σ = 7911278310. Its totient is φ = 885717504.

The previous prime is 2657572343. The next prime is 2657572451. The reversal of 2657572416 is 6142757562.

2657572416 is a `hidden beast` number, since 2 + 6 + 575 + 72 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 167961600 = 49896^2 + 12960^2 .

It is a super-2 number, since 2×2657572416² = 14125382292568154112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 416740 + ... + 423068.

Almost surely, 2^2657572416 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 2657572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955639155).

2657572416 is an abundant number, since it is smaller than the sum of its proper divisors (5253705894).

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

2657572416 is an frugal number, since it uses more digits than its factorization.

2657572416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6334 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2657572416 is about 51551.6480434913. The cubic root of 2657572416 is about 1385.1443529680.

The spelling of 2657572416 in words is "two billion, six hundred fifty-seven million, five hundred seventy-two thousand, four hundred sixteen".