2057578272 has 216 divisors, whose sum is σ = 6336111600. Its totient is φ = 633059328.

The previous prime is 2057578253. The next prime is 2057578297. The reversal of 2057578272 is 2728757502.

2057578272 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 578 + 2 + 72 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4910479 + ... + 4910897.

It is an arithmetic number, because the mean of its divisors is an integer number (29333850).

Almost surely, 2^2057578272 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 2057578272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168055800).

2057578272 is an abundant number, since it is smaller than the sum of its proper divisors (4278533328).

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

2057578272 is a wasteful number, since it uses less digits than its factorization.

2057578272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 2057578272 is about 45360.5365047637. The cubic root of 2057578272 is about 1271.8975234876.

The spelling of 2057578272 in words is "two billion, fifty-seven million, five hundred seventy-eight thousand, two hundred seventy-two".