2996364800 has 240 divisors, whose sum is σ = 8726910192. Its totient is φ = 1005158400.

The previous prime is 2996364773. The next prime is 2996364803. The reversal of 2996364800 is 84636992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996364803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1829582 + ... + 1831218.

Almost surely, 2^2996364800 is an apocalyptic number.

2996364800 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 2996364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363455096).

2996364800 is an abundant number, since it is smaller than the sum of its proper divisors (5730545392).

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

2996364800 is a wasteful number, since it uses less digits than its factorization.

2996364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 2996364800 is about 54739.0610076570. The cubic root of 2996364800 is about 1441.6667942278. Note that the first 3 decimals are identical.

It can be divided in two parts, 2 and 996364800, that multiplied together give a square (1992729600 = 44640²).

The spelling of 2996364800 in words is "two billion, nine hundred ninety-six million, three hundred sixty-four thousand, eight hundred".