2557059120 has 540 divisors, whose sum is σ = 10998514800. Its totient is φ = 530449920.

The previous prime is 2557059119. The next prime is 2557059163. The reversal of 2557059120 is 219507552.

2557059120 is a `hidden beast` number, since 25 + 570 + 59 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268581 + ... + 4269179.

It is an arithmetic number, because the mean of its divisors is an integer number (20367620).

Almost surely, 2^2557059120 is an apocalyptic number.

2557059120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499257400).

2557059120 is an abundant number, since it is smaller than the sum of its proper divisors (8441455680).

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

2557059120 is a wasteful number, since it uses less digits than its factorization.

2557059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 2557059120 is about 50567.3720891248. The cubic root of 2557059120 is about 1367.4567197404.

The spelling of 2557059120 in words is "two billion, five hundred fifty-seven million, fifty-nine thousand, one hundred twenty".