2997976800 has 864 divisors, whose sum is σ = 12792118752. Its totient is φ = 603832320.

The previous prime is 2997976777. The next prime is 2997976811. The reversal of 2997976800 is 86797992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56565574 + ... + 56565626.

It is an arithmetic number, because the mean of its divisors is an integer number (14805693).

Almost surely, 2^2997976800 is an apocalyptic number.

2997976800 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 2997976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396059376).

2997976800 is an abundant number, since it is smaller than the sum of its proper divisors (9794141952).

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

2997976800 is a wasteful number, since it uses less digits than its factorization.

2997976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The square root of 2997976800 is about 54753.7834309192. The cubic root of 2997976800 is about 1441.9252796925.

The spelling of 2997976800 in words is "two billion, nine hundred ninety-seven million, nine hundred seventy-six thousand, eight hundred".