2557078524 has 576 divisors, whose sum is σ = 9438105600. Its totient is φ = 587865600.

The previous prime is 2557078523. The next prime is 2557078543. The reversal of 2557078524 is 4258707552.

2557078524 is a `hidden beast` number, since 2 + 5 + 57 + 0 + 78 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2557078524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557078523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23459382 + ... + 23459490.

It is an arithmetic number, because the mean of its divisors is an integer number (16385600).

Almost surely, 2^2557078524 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 2557078524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719052800).

2557078524 is an abundant number, since it is smaller than the sum of its proper divisors (6881027076).

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

2557078524 is a wasteful number, since it uses less digits than its factorization.

2557078524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 2557078524 is about 50567.5639516083. The cubic root of 2557078524 is about 1367.4601786701.

The spelling of 2557078524 in words is "two billion, five hundred fifty-seven million, seventy-eight thousand, five hundred twenty-four".