2557845024 has 384 divisors, whose sum is σ = 8583708672. Its totient is φ = 650280960.

The previous prime is 2557845013. The next prime is 2557845049. The reversal of 2557845024 is 4205487552.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20140449 + ... + 20140575.

It is an arithmetic number, because the mean of its divisors is an integer number (22353408).

Almost surely, 2^2557845024 is an apocalyptic number.

2557845024 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 2557845024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291854336).

2557845024 is an abundant number, since it is smaller than the sum of its proper divisors (6025863648).

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

2557845024 is a wasteful number, since it uses less digits than its factorization.

2557845024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The square root of 2557845024 is about 50575.1423527408. The cubic root of 2557845024 is about 1367.5967998837.

The spelling of 2557845024 in words is "two billion, five hundred fifty-seven million, eight hundred forty-five thousand, twenty-four".