2557116500 has 24 divisors (see below), whose sum is σ = 5584743528. Its totient is φ = 1022846400.

The previous prime is 2557116491. The next prime is 2557116521. The reversal of 2557116500 is 56117552.

It can be written as a sum of positive squares in 4 ways, for example, as 271129156 + 2285987344 = 16466^2 + 47812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2556617 + ... + 2557616.

It is an arithmetic number, because the mean of its divisors is an integer number (232697647).

Almost surely, 2^2557116500 is an apocalyptic number.

2557116500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557116500 is an abundant number, since it is smaller than the sum of its proper divisors (3027627028).

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

2557116500 is a wasteful number, since it uses less digits than its factorization.

2557116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114252 (or 5114240 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 2557116500 is about 50567.9394478359. The cubic root of 2557116500 is about 1367.4669481677.

The spelling of 2557116500 in words is "two billion, five hundred fifty-seven million, one hundred sixteen thousand, five hundred".