2973952800 has 1152 divisors, whose sum is σ = 14174092800. Its totient is φ = 583925760.

The previous prime is 2973952771. The next prime is 2973952819. The reversal of 2973952800 is 82593792.

2973952800 is a `hidden beast` number, since 2 + 97 + 39 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 33415156 + ... + 33415244.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2^2973952800 is an apocalyptic number.

2973952800 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 2973952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087046400).

2973952800 is an abundant number, since it is smaller than the sum of its proper divisors (11200140000).

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

2973952800 is a wasteful number, since it uses less digits than its factorization.

2973952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2973952800 is about 54533.9600615983. The cubic root of 2973952800 is about 1438.0633688480.

The spelling of 2973952800 in words is "two billion, nine hundred seventy-three million, nine hundred fifty-two thousand, eight hundred".