2342114400 has 144 divisors (see below), whose sum is σ = 7671633984. Its totient is φ = 620628480.

The previous prime is 2342114329. The next prime is 2342114441. The reversal of 2342114400 is 44112432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388207 + ... + 394193.

It is an arithmetic number, because the mean of its divisors is an integer number (53275236).

Almost surely, 2^2342114400 is an apocalyptic number.

2342114400 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 2342114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835816992).

2342114400 is an abundant number, since it is smaller than the sum of its proper divisors (5329519584).

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

2342114400 is a wasteful number, since it uses less digits than its factorization.

2342114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2342114400 is about 48395.3964752847. The cubic root of 2342114400 is about 1328.0141467985.

Adding to 2342114400 its reverse (44112432), we get a palindrome (2386226832).

The spelling of 2342114400 in words is "two billion, three hundred forty-two million, one hundred fourteen thousand, four hundred".