2242222464 has 128 divisors (see below), whose sum is σ = 6195398400. Its totient is φ = 717645824.

The previous prime is 2242222441. The next prime is 2242222481. The reversal of 2242222464 is 4642222422.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2527429 + ... + 2528315.

It is an arithmetic number, because the mean of its divisors is an integer number (48401550).

Almost surely, 2^2242222464 is an apocalyptic number.

2242222464 is a gapful number since it is divisible by the number (24) 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 2242222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097699200).

2242222464 is an abundant number, since it is smaller than the sum of its proper divisors (3953175936).

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

2242222464 is a wasteful number, since it uses less digits than its factorization.

2242222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 2242222464 is about 47352.1115051906. Note that the first 3 decimals coincide. The cubic root of 2242222464 is about 1308.8591088454.

Adding to 2242222464 its reverse (4642222422), we get a palindrome (6884444886).

The spelling of 2242222464 in words is "two billion, two hundred forty-two million, two hundred twenty-two thousand, four hundred sixty-four".