2133122304 has 144 divisors (see below), whose sum is σ = 5963836032. Its totient is φ = 675569664.

The previous prime is 2133122297. The next prime is 2133122309. The reversal of 2133122304 is 4032213312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133122309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3479502 + ... + 3480114.

It is an arithmetic number, because the mean of its divisors is an integer number (41415528).

Almost surely, 2^2133122304 is an apocalyptic number.

2133122304 is a gapful number since it is divisible by the number (24) 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 2133122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981918016).

2133122304 is an abundant number, since it is smaller than the sum of its proper divisors (3830713728).

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

2133122304 is a wasteful number, since it uses less digits than its factorization.

2133122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2133122304 is about 46185.7370191275. The cubic root of 2133122304 is about 1287.2767308701.

Adding to 2133122304 its reverse (4032213312), we get a palindrome (6165335616).

The spelling of 2133122304 in words is "two billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred four".