2551166976 has 96 divisors (see below), whose sum is σ = 6824563200. Its totient is φ = 847503360.

The previous prime is 2551166957. The next prime is 2551167007. The reversal of 2551166976 is 6796611552.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2573841 + ... + 2574831.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 2^2551166976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412281600).

2551166976 is an abundant number, since it is smaller than the sum of its proper divisors (4273396224).

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

2551166976 is an equidigital number, since it uses as much as digits as its factorization.

2551166976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1415 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The square root of 2551166976 is about 50509.0781543279. The cubic root of 2551166976 is about 1366.4055840221.

The spelling of 2551166976 in words is "two billion, five hundred fifty-one million, one hundred sixty-six thousand, nine hundred seventy-six".