2972900 has 72 divisors (see below), whose sum is σ = 7666176. Its totient is φ = 979200.

The previous prime is 2972899. The next prime is 2972903. The reversal of 2972900 is 92792.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2972903) 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, 21632 + ... + 21768.

2^2972900 is an apocalyptic number.

2972900 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 2972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833088).

2972900 is an abundant number, since it is smaller than the sum of its proper divisors (4693276).

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

2972900 is a wasteful number, since it uses less digits than its factorization.

2972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 2972900 is about 1724.2099640125. The cubic root of 2972900 is about 143.7893654004.

The spelling of 2972900 in words is "two million, nine hundred seventy-two thousand, nine hundred".