2557127206404 has 81 divisors (see below), whose sum is σ = 6712797941031. Its totient is φ = 852289383960.

The previous prime is 2557127206397. The next prime is 2557127206421. The reversal of 2557127206404 is 4046027217552.

The square root of 2557127206404 is 1599102.

It is a perfect power (a square), and thus also a powerful number.

2557127206404 is a `hidden beast` number, since 2 + 5 + 571 + 2 + 72 + 0 + 6 + 4 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×2557127206404² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2557127206404.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259049589 + ... + 259059459.

Almost surely, 2^{2557127206404} is an apocalyptic number.

2557127206404 is the 1599102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557127206404

2557127206404 is an abundant number, since it is smaller than the sum of its proper divisors (4155670734627).

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

2557127206404 is an frugal number, since it uses more digits than its factorization.

2557127206404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 2557127206404 in words is "two trillion, five hundred fifty-seven billion, one hundred twenty-seven million, two hundred six thousand, four hundred four".