2557424520 has 192 divisors, whose sum is σ = 9540685440. Its totient is φ = 581990400.

The previous prime is 2557424503. The next prime is 2557424521. The reversal of 2557424520 is 254247552.

2557424520 is a `hidden beast` number, since 2 + 557 + 42 + 45 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2557424521) 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, 605215 + ... + 609425.

It is an arithmetic number, because the mean of its divisors is an integer number (49691070).

Almost surely, 2^2557424520 is an apocalyptic number.

2557424520 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 2557424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770342720).

2557424520 is an abundant number, since it is smaller than the sum of its proper divisors (6983260920).

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

2557424520 is a wasteful number, since it uses less digits than its factorization.

2557424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 2557424520 is about 50570.9849617347. The cubic root of 2557424520 is about 1367.5218524917.

The spelling of 2557424520 in words is "two billion, five hundred fifty-seven million, four hundred twenty-four thousand, five hundred twenty".