2057279328 has 144 divisors (see below), whose sum is σ = 6471135216. Its totient is φ = 615859200.

The previous prime is 2057279317. The next prime is 2057279339. The reversal of 2057279328 is 8239727502.

2057279328 is a `hidden beast` number, since 2 + 0 + 57 + 279 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (2057279317) and next prime (2057279339).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2057279328² = 8464796466832263168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131103 + ... + 145953.

It is an arithmetic number, because the mean of its divisors is an integer number (44938439).

Almost surely, 2^2057279328 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 2057279328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235567608).

2057279328 is an abundant number, since it is smaller than the sum of its proper divisors (4413855888).

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

2057279328 is a wasteful number, since it uses less digits than its factorization.

2057279328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14917 (or 14906 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2057279328 is about 45357.2411859452. The cubic root of 2057279328 is about 1271.8359228259.

The spelling of 2057279328 in words is "two billion, fifty-seven million, two hundred seventy-nine thousand, three hundred twenty-eight".