2880976000 has 256 divisors, whose sum is σ = 8477913600. Its totient is φ = 952627200.

The previous prime is 2880975991. The next prime is 2880976003. The reversal of 2880976000 is 6790882.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2880976003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3247557 + ... + 3248443.

It is an arithmetic number, because the mean of its divisors is an integer number (33116850).

Almost surely, 2^2880976000 is an apocalyptic number.

2880976000 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 2880976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238956800).

2880976000 is an abundant number, since it is smaller than the sum of its proper divisors (5596937600).

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

2880976000 is an equidigital number, since it uses as much as digits as its factorization.

2880976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2880976000 is about 53674.7240328257. The cubic root of 2880976000 is about 1422.9180225268.

The spelling of 2880976000 in words is "two billion, eight hundred eighty million, nine hundred seventy-six thousand".