2330140400 has 120 divisors (see below), whose sum is σ = 6445004160. Its totient is φ = 793025280.

The previous prime is 2330140399. The next prime is 2330140429. The reversal of 2330140400 is 40410332.

2330140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386207 + ... + 392193.

It is an arithmetic number, because the mean of its divisors is an integer number (53708368).

Almost surely, 2^2330140400 is an apocalyptic number.

2330140400 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 2330140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222502080).

2330140400 is an abundant number, since it is smaller than the sum of its proper divisors (4114863760).

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

2330140400 is a wasteful number, since it uses less digits than its factorization.

2330140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2330140400 is about 48271.5278399182. The cubic root of 2330140400 is about 1325.7471329218.

Adding to 2330140400 its reverse (40410332), we get a palindrome (2370550732).

The spelling of 2330140400 in words is "two billion, three hundred thirty million, one hundred forty thousand, four hundred".