2972900800 has 84 divisors (see below), whose sum is σ = 7352741200. Its totient is φ = 1183057920.

The previous prime is 2972900779. The next prime is 2972900803. The reversal of 2972900800 is 80092792.

It is a self number, because there is not a number n which added to its sum of digits gives 2972900800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972900803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313732 + ... + 323068.

Almost surely, 2^2972900800 is an apocalyptic number.

2972900800 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 2972900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676370600).

2972900800 is an abundant number, since it is smaller than the sum of its proper divisors (4379840400).

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

2972900800 is a wasteful number, since it uses less digits than its factorization.

2972900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 2972900800 is about 54524.3138425418. The cubic root of 2972900800 is about 1437.8937829821.

The spelling of 2972900800 in words is "two billion, nine hundred seventy-two million, nine hundred thousand, eight hundred".