2241222320 has 80 divisors (see below), whose sum is σ = 5315499072. Its totient is φ = 878668800.

The previous prime is 2241222301. The next prime is 2241222329. The reversal of 2241222320 is 232221422.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2241222292 and 2241222301.

It is not an unprimeable number, because it can be changed into a prime (2241222329) 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, 830894 + ... + 833586.

Almost surely, 2^2241222320 is an apocalyptic number.

2241222320 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 2241222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657749536).

2241222320 is an abundant number, since it is smaller than the sum of its proper divisors (3074276752).

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

2241222320 is a wasteful number, since it uses less digits than its factorization.

2241222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2241222320 is about 47341.5496155333. The cubic root of 2241222320 is about 1308.6644742381.

Adding to 2241222320 its reverse (232221422), we get a palindrome (2473443742).

The spelling of 2241222320 in words is "two billion, two hundred forty-one million, two hundred twenty-two thousand, three hundred twenty".