2996884800 has 504 divisors, whose sum is σ = 13115438336. Its totient is φ = 632033280.

The previous prime is 2996884777. The next prime is 2996884823. The reversal of 2996884800 is 84886992.

It is an interprime number because it is at equal distance from previous prime (2996884777) and next prime (2996884823).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1309257 + ... + 1311543.

Almost surely, 2^2996884800 is an apocalyptic number.

2996884800 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 2996884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557719168).

2996884800 is an abundant number, since it is smaller than the sum of its proper divisors (10118553536).

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

2996884800 is a wasteful number, since it uses less digits than its factorization.

2996884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2996884800 is about 54743.8106090542. The cubic root of 2996884800 is about 1441.7501867629.

The spelling of 2996884800 in words is "two billion, nine hundred ninety-six million, eight hundred eighty-four thousand, eight hundred".