2372400 has 90 divisors (see below), whose sum is σ = 8245380. Its totient is φ = 631680.

The previous prime is 2372393. The next prime is 2372413. The reversal of 2372400 is 42732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3271 + ... + 3929.

2^2372400 is an apocalyptic number.

2372400 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 2372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122690).

2372400 is an abundant number, since it is smaller than the sum of its proper divisors (5872980).

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

2372400 is a wasteful number, since it uses less digits than its factorization.

2372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2372400 is about 1540.2597183592. The cubic root of 2372400 is about 133.3713780324.

It can be divided in two parts, 2372 and 400, that added together give a palindrome (2772).

The spelling of 2372400 in words is "two million, three hundred seventy-two thousand, four hundred".