2557541268 has 108 divisors (see below), whose sum is σ = 6951328020. Its totient is φ = 790110720.

The previous prime is 2557541257. The next prime is 2557541297. The reversal of 2557541268 is 8621457552.

2557541268 is a `hidden beast` number, since 2 + 5 + 575 + 4 + 12 + 68 = 666.

2557541268 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1742895504 + 814645764 = 41748^2 + 28542^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3084678 + ... + 3085506.

Almost surely, 2^2557541268 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 2557541268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475664010).

2557541268 is an abundant number, since it is smaller than the sum of its proper divisors (4393786752).

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

2557541268 is a wasteful number, since it uses less digits than its factorization.

2557541268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 922 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 2557541268 is about 50572.1392468225. The cubic root of 2557541268 is about 1367.5426615792.

The spelling of 2557541268 in words is "two billion, five hundred fifty-seven million, five hundred forty-one thousand, two hundred sixty-eight".