2133414400 has 120 divisors (see below), whose sum is σ = 5692737204. Its totient is φ = 787660800.

The previous prime is 2133414397. The next prime is 2133414407. The reversal of 2133414400 is 44143312.

It can be written as a sum of positive squares in 6 ways, for example, as 64256256 + 2069158144 = 8016^2 + 45488^2 .

It is not an unprimeable number, because it can be changed into a prime (2133414407) 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, 159990 + ... + 172810.

Almost surely, 2^2133414400 is an apocalyptic number.

2133414400 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 2133414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846368602).

2133414400 is an abundant number, since it is smaller than the sum of its proper divisors (3559322804).

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

2133414400 is a wasteful number, since it uses less digits than its factorization.

2133414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2133414400 is about 46188.8990992424. The cubic root of 2133414400 is about 1287.3354853106.

Adding to 2133414400 its reverse (44143312), we get a palindrome (2177557712).

The spelling of 2133414400 in words is "two billion, one hundred thirty-three million, four hundred fourteen thousand, four hundred".