2242214144 has 72 divisors (see below), whose sum is σ = 4543076160. Its totient is φ = 1104386048.

The previous prime is 2242214129. The next prime is 2242214173. The reversal of 2242214144 is 4414122422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7652462 + ... + 7652754.

It is an arithmetic number, because the mean of its divisors is an integer number (63098280).

Almost surely, 2^2242214144 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 2242214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271538080).

2242214144 is an abundant number, since it is smaller than the sum of its proper divisors (2300862016).

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

2242214144 is a wasteful number, since it uses less digits than its factorization.

2242214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 2242214144 is about 47352.0236526381. The cubic root of 2242214144 is about 1308.8574899574.

Adding to 2242214144 its reverse (4414122422), we get a palindrome (6656336566).

The spelling of 2242214144 in words is "two billion, two hundred forty-two million, two hundred fourteen thousand, one hundred forty-four".