2556891360 has 240 divisors, whose sum is σ = 9136256976. Its totient is φ = 673339392.

The previous prime is 2556891353. The next prime is 2556891373. The reversal of 2556891360 is 631986552.

2556891360 is a `hidden beast` number, since 2 + 556 + 8 + 91 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1074492 + ... + 1076868.

Almost surely, 2^2556891360 is an apocalyptic number.

2556891360 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 2556891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568128488).

2556891360 is an abundant number, since it is smaller than the sum of its proper divisors (6579365616).

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

2556891360 is a wasteful number, since it uses less digits than its factorization.

2556891360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2556891360 is about 50565.7132847941. The cubic root of 2556891360 is about 1367.4268143497.

It can be divided in two parts, 255689 and 1360, that added together give a square (257049 = 507²).

The spelling of 2556891360 in words is "two billion, five hundred fifty-six million, eight hundred ninety-one thousand, three hundred sixty".