2972400 has 60 divisors (see below), whose sum is σ = 9525432. Its totient is φ = 792320.

The previous prime is 2972383. The next prime is 2972419. The reversal of 2972400 is 42792.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 2438.

2^2972400 is an apocalyptic number.

2972400 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 2972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762716).

2972400 is an abundant number, since it is smaller than the sum of its proper divisors (6553032).

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

2972400 is a wasteful number, since it uses less digits than its factorization.

2972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2972400 is about 1724.0649639732. The cubic root of 2972400 is about 143.7813038316.

The spelling of 2972400 in words is "two million, nine hundred seventy-two thousand, four hundred".