2557510160 has 20 divisors (see below), whose sum is σ = 5946211308. Its totient is φ = 1023004032.

The previous prime is 2557510147. The next prime is 2557510169. The reversal of 2557510160 is 610157552.

It can be written as a sum of positive squares in 2 ways, for example, as 576192016 + 1981318144 = 24004^2 + 44512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2557510169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15984359 + ... + 15984518.

Almost surely, 2^2557510160 is an apocalyptic number.

2557510160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557510160 is an abundant number, since it is smaller than the sum of its proper divisors (3388701148).

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

2557510160 is a wasteful number, since it uses less digits than its factorization.

2557510160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31968890 (or 31968884 counting only the distinct ones).

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

The square root of 2557510160 is about 50571.8316852376. The cubic root of 2557510160 is about 1367.5371169714.

The spelling of 2557510160 in words is "two billion, five hundred fifty-seven million, five hundred ten thousand, one hundred sixty".