2133240320 has 80 divisors (see below), whose sum is σ = 5233995360. Its totient is φ = 833409024.

The previous prime is 2133240311. The next prime is 2133240323. The reversal of 2133240320 is 230423312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2133240292 and 2133240301.

It is not an unprimeable number, because it can be changed into a prime (2133240323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100391 + ... + 119769.

It is an arithmetic number, because the mean of its divisors is an integer number (65424942).

Almost surely, 2^2133240320 is an apocalyptic number.

2133240320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616997680).

2133240320 is an abundant number, since it is smaller than the sum of its proper divisors (3100755040).

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

2133240320 is an equidigital number, since it uses as much as digits as its factorization.

2133240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19445 (or 19429 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2133240320 is about 46187.0146253252. The cubic root of 2133240320 is about 1287.3004701635.

Adding to 2133240320 its reverse (230423312), we get a palindrome (2363663632).

The spelling of 2133240320 in words is "two billion, one hundred thirty-three million, two hundred forty thousand, three hundred twenty".