2333130400 has 72 divisors (see below), whose sum is σ = 5702447520. Its totient is φ = 932156160.

The previous prime is 2333130383. The next prime is 2333130409. The reversal of 2333130400 is 40313332.

It is not an unprimeable number, because it can be changed into a prime (2333130409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1262277 + ... + 1264123.

It is an arithmetic number, because the mean of its divisors is an integer number (79200660).

Almost surely, 2^2333130400 is an apocalyptic number.

2333130400 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 2333130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851223760).

2333130400 is an abundant number, since it is smaller than the sum of its proper divisors (3369317120).

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

2333130400 is a wasteful number, since it uses less digits than its factorization.

2333130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2333130400 is about 48302.4885487280. The cubic root of 2333130400 is about 1326.3139499296.

Adding to 2333130400 its reverse (40313332), we get a palindrome (2373443732).

The spelling of 2333130400 in words is "two billion, three hundred thirty-three million, one hundred thirty thousand, four hundred".