2133135744 has 64 divisors (see below), whose sum is σ = 5797957440. Its totient is φ = 694503936.

The previous prime is 2133135743. The next prime is 2133135751. The reversal of 2133135744 is 4475313312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133135743) 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 7 ways as a sum of consecutive naturals, for example, 48082 + ... + 81105.

It is an arithmetic number, because the mean of its divisors is an integer number (90593085).

Almost surely, 2^2133135744 is an apocalyptic number.

2133135744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2133135744 is an abundant number, since it is smaller than the sum of its proper divisors (3664821696).

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

2133135744 is a wasteful number, since it uses less digits than its factorization.

2133135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129247 (or 129235 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 2133135744 is about 46185.8825183627. The cubic root of 2133135744 is about 1287.2794344130.

It can be divided in two parts, 21331 and 35744, that added together give a palindrome (57075).

The spelling of 2133135744 in words is "two billion, one hundred thirty-three million, one hundred thirty-five thousand, seven hundred forty-four".