2397200 has 60 divisors (see below), whose sum is σ = 6215748. Its totient is φ = 883200.

The previous prime is 2397191. The next prime is 2397203. The reversal of 2397200 is 27932.

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 1982464 = 644^2 + 1408^2 .

It is not an unprimeable number, because it can be changed into a prime (2397203) 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, 4970 + ... + 5430.

2^2397200 is an apocalyptic number.

2397200 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 2397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107874).

2397200 is an abundant number, since it is smaller than the sum of its proper divisors (3818548).

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

2397200 is a wasteful number, since it uses less digits than its factorization.

2397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 2397200 is about 1548.2893786370. The cubic root of 2397200 is about 133.8345027478.

The spelling of 2397200 in words is "two million, three hundred ninety-seven thousand, two hundred".