2330958400 has 189 divisors, whose sum is σ = 6179873467. Its totient is φ = 865177600.

The previous prime is 2330958379. The next prime is 2330958407. The reversal of 2330958400 is 48590332.

It is a happy number.

The square root of 2330958400 is 48280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54523456 + 2276434944 = 7384^2 + 47712^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2330958407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32830365 + ... + 32830435.

Almost surely, 2^2330958400 is an apocalyptic number.

2330958400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2330958400 is the 48280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330958400

2330958400 is an abundant number, since it is smaller than the sum of its proper divisors (3848915067).

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

2330958400 is an equidigital number, since it uses as much as digits as its factorization.

2330958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 2330958400 is about 1325.9022500811.

The spelling of 2330958400 in words is "two billion, three hundred thirty million, nine hundred fifty-eight thousand, four hundred".