2304344400 has 120 divisors (see below), whose sum is σ = 7492017504. Its totient is φ = 605299200.

The previous prime is 2304344381. The next prime is 2304344429. The reversal of 2304344400 is 44434032.

It is a happy number.

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

It is a super-2 number, since 2×2304344400² = 10620006227622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66070 + ... + 94730.

Almost surely, 2^2304344400 is an apocalyptic number.

2304344400 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 2304344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746008752).

2304344400 is an abundant number, since it is smaller than the sum of its proper divisors (5187673104).

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

2304344400 is a wasteful number, since it uses less digits than its factorization.

2304344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28749 (or 28738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2304344400 is about 48003.5873659459. The cubic root of 2304344400 is about 1320.8367055236.

Adding to 2304344400 its reverse (44434032), we get a palindrome (2348778432).

The spelling of 2304344400 in words is "two billion, three hundred four million, three hundred forty-four thousand, four hundred".