2557025280 has 352 divisors, whose sum is σ = 9285192000. Its totient is φ = 667090944.

The previous prime is 2557025257. The next prime is 2557025291. The reversal of 2557025280 is 825207552.

2557025280 is a `hidden beast` number, since 2 + 5 + 570 + 2 + 5 + 2 + 80 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7326546 + ... + 7326894.

Almost surely, 2^2557025280 is an apocalyptic number.

2557025280 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 2557025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642596000).

2557025280 is an abundant number, since it is smaller than the sum of its proper divisors (6728166720).

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

2557025280 is a wasteful number, since it uses less digits than its factorization.

2557025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2557025280 is about 50567.0374849071. The cubic root of 2557025280 is about 1367.4506874279.

The spelling of 2557025280 in words is "two billion, five hundred fifty-seven million, twenty-five thousand, two hundred eighty".