2557336320 has 864 divisors, whose sum is σ = 11691025920. Its totient is φ = 514252800.

The previous prime is 2557336303. The next prime is 2557336349. The reversal of 2557336320 is 236337552.

2557336320 is a `hidden beast` number, since 2 + 5 + 573 + 3 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2557336320² = 13079938107182284800, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82494705 + ... + 82494735.

It is an arithmetic number, because the mean of its divisors is an integer number (13531280).

Almost surely, 2^2557336320 is an apocalyptic number.

2557336320 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 2557336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845512960).

2557336320 is an abundant number, since it is smaller than the sum of its proper divisors (9133689600).

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

2557336320 is a wasteful number, since it uses less digits than its factorization.

2557336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 2557336320 is about 50570.1129126681. The cubic root of 2557336320 is about 1367.5061313612.

The spelling of 2557336320 in words is "two billion, five hundred fifty-seven million, three hundred thirty-six thousand, three hundred twenty".