2133643264 has 52 divisors (see below), whose sum is σ = 4281599520. Its totient is φ = 1063116800.

The previous prime is 2133643229. The next prime is 2133643271. The reversal of 2133643264 is 4623463312.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1469739 + ... + 1471189.

Almost surely, 2^2133643264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140799760).

2133643264 is an abundant number, since it is smaller than the sum of its proper divisors (2147956256).

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

2133643264 is an equidigital number, since it uses as much as digits as its factorization.

2133643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1812 counting only the distinct ones).

The product of its digits is 62208, while the sum is 34.

The square root of 2133643264 is about 46191.3765112061. The cubic root of 2133643264 is about 1287.3815170323.

The spelling of 2133643264 in words is "two billion, one hundred thirty-three million, six hundred forty-three thousand, two hundred sixty-four".