2880146976 has 96 divisors (see below), whose sum is σ = 8724538368. Its totient is φ = 814890240.

The previous prime is 2880146959. The next prime is 2880146999. The reversal of 2880146976 is 6796410882.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48411 + ... + 90021.

It is an arithmetic number, because the mean of its divisors is an integer number (90880608).

Almost surely, 2^2880146976 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 2880146976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362269184).

2880146976 is an abundant number, since it is smaller than the sum of its proper divisors (5844391392).

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

2880146976 is a wasteful number, since it uses less digits than its factorization.

2880146976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41734 (or 41726 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2880146976 is about 53667.0008105540. Note that the first 3 decimals coincide. The cubic root of 2880146976 is about 1422.7815240672.

The spelling of 2880146976 in words is "two billion, eight hundred eighty million, one hundred forty-six thousand, nine hundred seventy-six".