2331300400 has 240 divisors, whose sum is σ = 6713007840. Its totient is φ = 766771200.

The previous prime is 2331300397. The next prime is 2331300469. The reversal of 2331300400 is 40031332.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031216 + ... + 3031984.

It is an arithmetic number, because the mean of its divisors is an integer number (27970866).

Almost surely, 2^2331300400 is an apocalyptic number.

2331300400 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 2331300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356503920).

2331300400 is an abundant number, since it is smaller than the sum of its proper divisors (4381707440).

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

2331300400 is a wasteful number, since it uses less digits than its factorization.

2331300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2331300400 is about 48283.5417093651. The cubic root of 2331300400 is about 1325.9670927075.

Adding to 2331300400 its reverse (40031332), we get a palindrome (2371331732).

The spelling of 2331300400 in words is "two billion, three hundred thirty-one million, three hundred thousand, four hundred".