2342390400 has 480 divisors, whose sum is σ = 9886435680. Its totient is φ = 534988800.

The previous prime is 2342390381. The next prime is 2342390437. The reversal of 2342390400 is 40932432.

It is a happy number.

2342390400 is a `hidden beast` number, since 23 + 4 + 239 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1813755 + ... + 1815045.

It is an arithmetic number, because the mean of its divisors is an integer number (20596741).

Almost surely, 2^2342390400 is an apocalyptic number.

2342390400 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 2342390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943217840).

2342390400 is an abundant number, since it is smaller than the sum of its proper divisors (7544045280).

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

2342390400 is a wasteful number, since it uses less digits than its factorization.

2342390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2342390400 is about 48398.2479021710. The cubic root of 2342390400 is about 1328.0663101355.

The spelling of 2342390400 in words is "two billion, three hundred forty-two million, three hundred ninety thousand, four hundred".