2375976960 has 576 divisors, whose sum is σ = 9812275200. Its totient is φ = 520224768.

The previous prime is 2375976959. The next prime is 2375976991. The reversal of 2375976960 is 696795732.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2375976897 and 2375976906.

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 47 ways as a sum of consecutive naturals, for example, 18708417 + ... + 18708543.

It is an arithmetic number, because the mean of its divisors is an integer number (17035200).

Almost surely, 2^2375976960 is an apocalyptic number.

2375976960 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 2375976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

2375976960 is an abundant number, since it is smaller than the sum of its proper divisors (7436298240).

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

2375976960 is a wasteful number, since it uses less digits than its factorization.

2375976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 2375976960 is about 48743.9940915801. The cubic root of 2375976960 is about 1334.3837411541.

The spelling of 2375976960 in words is "two billion, three hundred seventy-five million, nine hundred seventy-six thousand, nine hundred sixty".