2972973900 has 144 divisors (see below), whose sum is σ = 9291467808. Its totient is φ = 729600000.

The previous prime is 2972973869. The next prime is 2972973901. The reversal of 2972973900 is 93792792.

It is a self number, because there is not a number n which added to its sum of digits gives 2972973900.

It is not an unprimeable number, because it can be changed into a prime (2972973901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562950 + ... + 1564850.

It is an arithmetic number, because the mean of its divisors is an integer number (64524082).

Almost surely, 2^2972973900 is an apocalyptic number.

2972973900 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 2972973900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645733904).

2972973900 is an abundant number, since it is smaller than the sum of its proper divisors (6318493908).

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

2972973900 is a wasteful number, since it uses less digits than its factorization.

2972973900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The square root of 2972973900 is about 54524.9841815658. The cubic root of 2972973900 is about 1437.9055682362.

The spelling of 2972973900 in words is "two billion, nine hundred seventy-two million, nine hundred seventy-three thousand, nine hundred".