2557513728 has 624 divisors, whose sum is σ = 9936141696. Its totient is φ = 613416960.

The previous prime is 2557513687. The next prime is 2557513729. The reversal of 2557513728 is 8273157552.

2557513728 is a `hidden beast` number, since 2 + 5 + 575 + 1 + 3 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2557513729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48254950 + ... + 48255002.

It is an arithmetic number, because the mean of its divisors is an integer number (15923304).

Almost surely, 2^2557513728 is an apocalyptic number.

2557513728 is a gapful number since it is divisible by the number (28) 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 2557513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968070848).

2557513728 is an abundant number, since it is smaller than the sum of its proper divisors (7378627968).

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

2557513728 is a wasteful number, since it uses less digits than its factorization.

2557513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 2557513728 is about 50571.8669617802. The cubic root of 2557513728 is about 1367.5377529246.

The spelling of 2557513728 in words is "two billion, five hundred fifty-seven million, five hundred thirteen thousand, seven hundred twenty-eight".