2180133792 has 144 divisors (see below), whose sum is σ = 6460769952. Its totient is φ = 723168000.

The previous prime is 2180133779. The next prime is 2180133797. The reversal of 2180133792 is 2973310812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2180133797) 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 23 ways as a sum of consecutive naturals, for example, 1951218 + ... + 1952334.

It is an arithmetic number, because the mean of its divisors is an integer number (44866458).

Almost surely, 2^2180133792 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 2180133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230384976).

2180133792 is an abundant number, since it is smaller than the sum of its proper divisors (4280636160).

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

2180133792 is a wasteful number, since it uses less digits than its factorization.

2180133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2180133792 is about 46691.9028526360. The cubic root of 2180133792 is about 1296.6647823988.

The spelling of 2180133792 in words is "two billion, one hundred eighty million, one hundred thirty-three thousand, seven hundred ninety-two".