2133009920 has 80 divisors (see below), whose sum is σ = 5383517040. Its totient is φ = 808280064.

The previous prime is 2133009919. The next prime is 2133009961. The reversal of 2133009920 is 299003312.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 26714 + ... + 70566.

It is an arithmetic number, because the mean of its divisors is an integer number (67293963).

Almost surely, 2^2133009920 is an apocalyptic number.

2133009920 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 2133009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691758520).

2133009920 is an abundant number, since it is smaller than the sum of its proper divisors (3250507120).

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

2133009920 is an equidigital number, since it uses as much as digits as its factorization.

2133009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43895 (or 43879 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 2133009920 is about 46184.5203504378. The cubic root of 2133009920 is about 1287.2541236574.

The spelling of 2133009920 in words is "two billion, one hundred thirty-three million, nine thousand, nine hundred twenty".