2557868544 has 560 divisors, whose sum is σ = 9660720960. Its totient is φ = 656916480.

The previous prime is 2557868539. The next prime is 2557868567. The reversal of 2557868544 is 4458687552.

2557868544 is a `hidden beast` number, since 2 + 5 + 578 + 68 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10752000) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28740052 + ... + 28740140.

Almost surely, 2^2557868544 is an apocalyptic number.

2557868544 is a gapful number since it is divisible by the number (24) 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 2557868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830360480).

2557868544 is an abundant number, since it is smaller than the sum of its proper divisors (7102852416).

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

2557868544 is an frugal number, since it uses more digits than its factorization.

2557868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The square root of 2557868544 is about 50575.3748775034. The cubic root of 2557868544 is about 1367.6009916647.

The spelling of 2557868544 in words is "two billion, five hundred fifty-seven million, eight hundred sixty-eight thousand, five hundred forty-four".