2551966560 has 864 divisors, whose sum is σ = 11248971552. Its totient is φ = 537477120.

The previous prime is 2551966523. The next prime is 2551966597. The reversal of 2551966560 is 656691552.

2551966560 is a `hidden beast` number, since 2 + 551 + 96 + 6 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2551966523) and next prime (2551966597).

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 150115672 + ... + 150115688.

It is an arithmetic number, because the mean of its divisors is an integer number (13019643).

Almost surely, 2^2551966560 is an apocalyptic number.

2551966560 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 2551966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624485776).

2551966560 is an abundant number, since it is smaller than the sum of its proper divisors (8697004992).

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

2551966560 is a wasteful number, since it uses less digits than its factorization.

2551966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 2551966560 is about 50516.9927846066. The cubic root of 2551966560 is about 1366.5483215654.

The spelling of 2551966560 in words is "two billion, five hundred fifty-one million, nine hundred sixty-six thousand, five hundred sixty".