2380400 has 60 divisors (see below), whose sum is σ = 6250344. Its totient is φ = 864000.

The previous prime is 2380393. The next prime is 2380421. The reversal of 2380400 is 40832.

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, 4130 + ... + 4670.

2^2380400 is an apocalyptic number.

2380400 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 2380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125172).

2380400 is an abundant number, since it is smaller than the sum of its proper divisors (3869944).

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

2380400 is a wasteful number, since it uses less digits than its factorization.

2380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2380400 is about 1542.8544973522. The cubic root of 2380400 is about 133.5211242739.

The spelling of 2380400 in words is "two million, three hundred eighty thousand, four hundred".