2121044224 has 72 divisors (see below), whose sum is σ = 4716918360. Its totient is φ = 945143808.

The previous prime is 2121044221. The next prime is 2121044243. The reversal of 2121044224 is 4224401212.

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 2043040000 = 8832^2 + 45200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2121044195 and 2121044204.

It is not an unprimeable number, because it can be changed into a prime (2121044221) by changing a digit.

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, 85524 + ... + 107500.

It is an arithmetic number, because the mean of its divisors is an integer number (65512755).

Almost surely, 2^2121044224 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 2121044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358459180).

2121044224 is an abundant number, since it is smaller than the sum of its proper divisors (2595874136).

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

2121044224 is a wasteful number, since it uses less digits than its factorization.

2121044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22035 (or 22021 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2121044224 is about 46054.7958849021. The cubic root of 2121044224 is about 1284.8425418354.

Adding to 2121044224 its reverse (4224401212), we get a palindrome (6345445436).

The spelling of 2121044224 in words is "two billion, one hundred twenty-one million, forty-four thousand, two hundred twenty-four".