2330404400 has 60 divisors (see below), whose sum is σ = 5607458064. Its totient is φ = 930720000.

The previous prime is 2330404399. The next prime is 2330404403. The reversal of 2330404400 is 44040332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2330404403) 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, 276245 + ... + 284555.

Almost surely, 2^2330404400 is an apocalyptic number.

2330404400 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 2330404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803729032).

2330404400 is an abundant number, since it is smaller than the sum of its proper divisors (3277053664).

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

2330404400 is a wasteful number, since it uses less digits than its factorization.

2330404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2330404400 is about 48274.2622936902. The cubic root of 2330404400 is about 1325.7971991505.

Adding to 2330404400 its reverse (44040332), we get a palindrome (2374444732).

The spelling of 2330404400 in words is "two billion, three hundred thirty million, four hundred four thousand, four hundred".