2122133104 has 160 divisors (see below), whose sum is σ = 5459650560. Its totient is φ = 775526400.

The previous prime is 2122133089. The next prime is 2122133131. The reversal of 2122133104 is 4013312212.

It is a happy number.

It is a super-2 number, since 2×2122133104² = 9006897822185349632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133289 + ... + 1135159.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 2^2122133104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

2122133104 is an abundant number, since it is smaller than the sum of its proper divisors (3337517456).

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

2122133104 is a wasteful number, since it uses less digits than its factorization.

2122133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2122133104 is about 46066.6159382258. The cubic root of 2122133104 is about 1285.0623706649.

Adding to 2122133104 its reverse (4013312212), we get a palindrome (6135445316).

The spelling of 2122133104 in words is "two billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred four".