2342400 has 120 divisors (see below), whose sum is σ = 7864824. Its totient is φ = 614400.

The previous prime is 2342399. The next prime is 2342401. The reversal of 2342400 is 42432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2342399) and next prime (2342401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2342400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38370 + ... + 38430.

2^2342400 is an apocalyptic number.

2342400 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 2342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932412).

2342400 is an abundant number, since it is smaller than the sum of its proper divisors (5522424).

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

2342400 is an equidigital number, since it uses as much as digits as its factorization.

2342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2342400 is about 1530.4901175767. The cubic root of 2342400 is about 132.8068124439.

Adding to 2342400 its reverse (42432), we get a palindrome (2384832).

Subtracting from 2342400 its reverse (42432), we obtain a cube (2299968 = 132³).

The spelling of 2342400 in words is "two million, three hundred forty-two thousand, four hundred".