2242222480 has 80 divisors (see below), whose sum is σ = 5548506480. Its totient is φ = 839745536.

The previous prime is 2242222441. The next prime is 2242222481. The reversal of 2242222480 is 842222422.

It can be written as a sum of positive squares in 8 ways, for example, as 542144656 + 1700077824 = 23284^2 + 41232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2242222481) 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 15 ways as a sum of consecutive naturals, for example, 263736 + ... + 272104.

It is an arithmetic number, because the mean of its divisors is an integer number (69356331).

Almost surely, 2^2242222480 is an apocalyptic number.

2242222480 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 2242222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774253240).

2242222480 is an abundant number, since it is smaller than the sum of its proper divisors (3306284000).

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

2242222480 is a wasteful number, since it uses less digits than its factorization.

2242222480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 2242222480 is about 47352.1116741376. Note that the first 3 decimals coincide. The cubic root of 2242222480 is about 1308.8591119586.

The spelling of 2242222480 in words is "two billion, two hundred forty-two million, two hundred twenty-two thousand, four hundred eighty".