2133413504 has 64 divisors (see below), whose sum is σ = 4514356800. Its totient is φ = 1000796160.

The previous prime is 2133413413. The next prime is 2133413533. The reversal of 2133413504 is 4053143312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779819 + ... + 782549.

It is an arithmetic number, because the mean of its divisors is an integer number (70536825).

Almost surely, 2^2133413504 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 2133413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257178400).

2133413504 is an abundant number, since it is smaller than the sum of its proper divisors (2380943296).

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

2133413504 is a wasteful number, since it uses less digits than its factorization.

2133413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2133413504 is about 46188.8893999412. The cubic root of 2133413504 is about 1287.3353050904.

Adding to 2133413504 its reverse (4053143312), we get a palindrome (6186556816).

The spelling of 2133413504 in words is "two billion, one hundred thirty-three million, four hundred thirteen thousand, five hundred four".