2557627104 has 48 divisors (see below), whose sum is σ = 6716691072. Its totient is φ = 852171648.

The previous prime is 2557627091. The next prime is 2557627129. The reversal of 2557627104 is 4017267552.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299437 + ... + 307859.

It is an arithmetic number, because the mean of its divisors is an integer number (139931064).

Almost surely, 2^2557627104 is an apocalyptic number.

2557627104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2557627104 is an abundant number, since it is smaller than the sum of its proper divisors (4159063968).

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

2557627104 is a wasteful number, since it uses less digits than its factorization.

2557627104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 2557627104 is about 50572.9878887930. The cubic root of 2557627104 is about 1367.5579605280.

The spelling of 2557627104 in words is "two billion, five hundred fifty-seven million, six hundred twenty-seven thousand, one hundred four".