2556128160 has 144 divisors (see below), whose sum is σ = 9235980936. Its totient is φ = 641531904.

The previous prime is 2556128137. The next prime is 2556128167. The reversal of 2556128160 is 618216552.

2556128160 is a `hidden beast` number, since 25 + 5 + 612 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1970294544 + 585833616 = 44388^2 + 24204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2556128167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27729 + ... + 76688.

Almost surely, 2^2556128160 is an apocalyptic number.

2556128160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2556128160 is an abundant number, since it is smaller than the sum of its proper divisors (6679852776).

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

2556128160 is a wasteful number, since it uses less digits than its factorization.

2556128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104455 (or 104444 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2556128160 is about 50558.1661059813. The cubic root of 2556128160 is about 1367.2907475599.

The spelling of 2556128160 in words is "two billion, five hundred fifty-six million, one hundred twenty-eight thousand, one hundred sixty".