2331034400 has 72 divisors (see below), whose sum is σ = 5708478384. Its totient is φ = 929491200.

The previous prime is 2331034379. The next prime is 2331034403. The reversal of 2331034400 is 44301332.

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 (2331034403) 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, 260399 + ... + 269201.

It is an arithmetic number, because the mean of its divisors is an integer number (79284422).

Almost surely, 2^2331034400 is an apocalyptic number.

2331034400 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 2331034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854239192).

2331034400 is an abundant number, since it is smaller than the sum of its proper divisors (3377443984).

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

2331034400 is a wasteful number, since it uses less digits than its factorization.

2331034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9154 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2331034400 is about 48280.7870689781. The cubic root of 2331034400 is about 1325.9166601018.

Adding to 2331034400 its reverse (44301332), we get a palindrome (2375335732).

The spelling of 2331034400 in words is "two billion, three hundred thirty-one million, thirty-four thousand, four hundred".