2133334320 has 240 divisors, whose sum is σ = 7229671200. Its totient is φ = 520126464.

The previous prime is 2133334303. The next prime is 2133334321. The reversal of 2133334320 is 234333312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2133334320² = 9102230641779724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2133334321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6043264 + ... + 6043616.

It is an arithmetic number, because the mean of its divisors is an integer number (30123630).

Almost surely, 2^2133334320 is an apocalyptic number.

2133334320 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 2133334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614835600).

2133334320 is an abundant number, since it is smaller than the sum of its proper divisors (5096336880).

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

2133334320 is a wasteful number, since it uses less digits than its factorization.

2133334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 2133334320 is about 46188.0322161488. The cubic root of 2133334320 is about 1287.3193779358.

Adding to 2133334320 its reverse (234333312), we get a palindrome (2367667632).

The spelling of 2133334320 in words is "two billion, one hundred thirty-three million, three hundred thirty-four thousand, three hundred twenty".