2133134400 has 84 divisors (see below), whose sum is σ = 6998474192. Its totient is φ = 568834560.

The previous prime is 2133134369. The next prime is 2133134401. The reversal of 2133134400 is 44313312.

It is not an unprimeable number, because it can be changed into a prime (2133134401) 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, 217402 + ... + 227001.

Almost surely, 2^2133134400 is an apocalyptic number.

2133134400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133134400 is an abundant number, since it is smaller than the sum of its proper divisors (4865339792).

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

2133134400 is a wasteful number, since it uses less digits than its factorization.

2133134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444428 (or 444413 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2133134400 is about 46185.8679684598. The cubic root of 2133134400 is about 1287.2791640592.

Adding to 2133134400 its reverse (44313312), we get a palindrome (2177447712).

The spelling of 2133134400 in words is "two billion, one hundred thirty-three million, one hundred thirty-four thousand, four hundred".