2224405960 has 144 divisors (see below), whose sum is σ = 5990865300. Its totient is φ = 741146112.

The previous prime is 2224405957. The next prime is 2224405999. The reversal of 2224405960 is 695044222.

It can be written as a sum of positive squares in 6 ways, for example, as 1943575396 + 280830564 = 44086^2 + 16758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2682826 + ... + 2683654.

Almost surely, 2^2224405960 is an apocalyptic number.

2224405960 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 2224405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995432650).

2224405960 is an abundant number, since it is smaller than the sum of its proper divisors (3766459340).

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

2224405960 is a wasteful number, since it uses less digits than its factorization.

2224405960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2224405960 is about 47163.6084285331. The cubic root of 2224405960 is about 1305.3831926676.

The spelling of 2224405960 in words is "two billion, two hundred twenty-four million, four hundred five thousand, nine hundred sixty".