2133330320 has 80 divisors (see below), whose sum is σ = 5418403200. Its totient is φ = 774681600.

The previous prime is 2133330307. The next prime is 2133330343. The reversal of 2133330320 is 230333312.

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 = 2133330292 and 2133330301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 921965 + ... + 924275.

It is an arithmetic number, because the mean of its divisors is an integer number (67730040).

Almost surely, 2^2133330320 is an apocalyptic number.

2133330320 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 2133330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709201600).

2133330320 is an abundant number, since it is smaller than the sum of its proper divisors (3285072880).

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

2133330320 is a wasteful number, since it uses less digits than its factorization.

2133330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 2133330320 is about 46187.9889148683. The cubic root of 2133330320 is about 1287.3185733611.

Adding to 2133330320 its reverse (230333312), we get a palindrome (2363663632).

The spelling of 2133330320 in words is "two billion, one hundred thirty-three million, three hundred thirty thousand, three hundred twenty".