2996716800 has 432 divisors, whose sum is σ = 12336210432. Its totient is φ = 622387200.

The previous prime is 2996716799. The next prime is 2996716819. The reversal of 2996716800 is 86176992.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2996716800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477387 + ... + 1479413.

Almost surely, 2^2996716800 is an apocalyptic number.

2996716800 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 2996716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168105216).

2996716800 is an abundant number, since it is smaller than the sum of its proper divisors (9339493632).

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

2996716800 is a wasteful number, since it uses less digits than its factorization.

2996716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 2996716800 is about 54742.2761675106. The cubic root of 2996716800 is about 1441.7232456142.

The spelling of 2996716800 in words is "two billion, nine hundred ninety-six million, seven hundred sixteen thousand, eight hundred".