2379200 has 42 divisors (see below), whose sum is σ = 5858256. Its totient is φ = 951040.

The previous prime is 2379191. The next prime is 2379203. The reversal of 2379200 is 29732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 857 + ... + 2343.

2^2379200 is an apocalyptic number.

2379200 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 2379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929128).

2379200 is an abundant number, since it is smaller than the sum of its proper divisors (3479056).

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

2379200 is a wasteful number, since it uses less digits than its factorization.

2379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1494 counting only the distinct ones).

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

The square root of 2379200 is about 1542.4655587727. The cubic root of 2379200 is about 133.4986837484.

It can be divided in two parts, 2379 and 200, that multiplied together give a triangular number (475800 = T₉₇₅).

The spelling of 2379200 in words is "two million, three hundred seventy-nine thousand, two hundred".