2390400 has 144 divisors (see below), whose sum is σ = 8632260. Its totient is φ = 629760.

The previous prime is 2390389. The next prime is 2390411. The reversal of 2390400 is 40932.

It is an interprime number because it is at equal distance from previous prime (2390389) and next prime (2390411).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 28759 + ... + 28841.

2^2390400 is an apocalyptic number.

2390400 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 2390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316130).

2390400 is an abundant number, since it is smaller than the sum of its proper divisors (6241860).

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

2390400 is a wasteful number, since it uses less digits than its factorization.

2390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2390400 is about 1546.0918472070. The cubic root of 2390400 is about 133.7078360121.

The spelling of 2390400 in words is "two million, three hundred ninety thousand, four hundred".