2570671728 has 480 divisors, whose sum is σ = 8774438400. Its totient is φ = 722608128.

The previous prime is 2570671723. The next prime is 2570671729. The reversal of 2570671728 is 8271760752.

2570671728 is a `hidden beast` number, since 2 + 570 + 6 + 7 + 1 + 72 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570671723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28883908 + ... + 28883996.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^2570671728 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 2570671728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2570671728 is an abundant number, since it is smaller than the sum of its proper divisors (6203766672).

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

2570671728 is a wasteful number, since it uses less digits than its factorization.

2570671728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2570671728 is about 50701.7921576743. The cubic root of 2570671728 is about 1369.8789968963.

The spelling of 2570671728 in words is "two billion, five hundred seventy million, six hundred seventy-one thousand, seven hundred twenty-eight".