2556964560 has 160 divisors (see below), whose sum is σ = 8500170240. Its totient is φ = 633544704.

The previous prime is 2556964541. The next prime is 2556964567. The reversal of 2556964560 is 654696552.

It is a super-2 number, since 2×2556964560² = 13076135522191987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556964567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 318354 + ... + 326286.

It is an arithmetic number, because the mean of its divisors is an integer number (53126064).

Almost surely, 2^2556964560 is an apocalyptic number.

2556964560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250085120).

2556964560 is an abundant number, since it is smaller than the sum of its proper divisors (5943205680).

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

2556964560 is a wasteful number, since it uses less digits than its factorization.

2556964560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The square root of 2556964560 is about 50566.4370902281. The cubic root of 2556964560 is about 1367.4398633577.

The spelling of 2556964560 in words is "two billion, five hundred fifty-six million, nine hundred sixty-four thousand, five hundred sixty".