2330440400 has 60 divisors (see below), whose sum is σ = 5606869932. Its totient is φ = 930846720.

The previous prime is 2330440391. The next prime is 2330440417. The reversal of 2330440400 is 40440332.

It is a happy number.

2330440400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 426339904 + 1904100496 = 20648^2 + 43636^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305432 + ... + 312968.

Almost surely, 2^2330440400 is an apocalyptic number.

2330440400 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 2330440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803434966).

2330440400 is an abundant number, since it is smaller than the sum of its proper divisors (3276429532).

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

2330440400 is a wasteful number, since it uses less digits than its factorization.

2330440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8317 counting only the distinct ones).

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

The square root of 2330440400 is about 48274.6351617493. The cubic root of 2330440400 is about 1325.8040260705.

Adding to 2330440400 its reverse (40440332), we get a palindrome (2370880732).

The spelling of 2330440400 in words is "two billion, three hundred thirty million, four hundred forty thousand, four hundred".