2330010400 has 72 divisors (see below), whose sum is σ = 5935495104. Its totient is φ = 891475200.

The previous prime is 2330010391. The next prime is 2330010407. The reversal of 2330010400 is 40100332.

It is not an unprimeable number, because it can be changed into a prime (2330010407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44916 + ... + 81715.

It is an arithmetic number, because the mean of its divisors is an integer number (82437432).

Almost surely, 2^2330010400 is an apocalyptic number.

2330010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330010400 is an abundant number, since it is smaller than the sum of its proper divisors (3605484704).

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

2330010400 is a wasteful number, since it uses less digits than its factorization.

2330010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126674 (or 126661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2330010400 is about 48270.1812716712. The cubic root of 2330010400 is about 1325.7224777076.

Adding to 2330010400 its reverse (40100332), we get a palindrome (2370110732).

The spelling of 2330010400 in words is "two billion, three hundred thirty million, ten thousand, four hundred".