2242329768 has 144 divisors (see below), whose sum is σ = 7215324480. Its totient is φ = 626988096.

The previous prime is 2242329763. The next prime is 2242329799. The reversal of 2242329768 is 8679232422.

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

It is not an unprimeable number, because it can be changed into a prime (2242329763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159055 + ... + 172577.

It is an arithmetic number, because the mean of its divisors is an integer number (50106420).

Almost surely, 2^2242329768 is an apocalyptic number.

2242329768 is a gapful number since it is divisible by the number (28) 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 2242329768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607662240).

2242329768 is an abundant number, since it is smaller than the sum of its proper divisors (4972994712).

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

2242329768 is a wasteful number, since it uses less digits than its factorization.

2242329768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13596 (or 13582 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2242329768 is about 47353.2445350897. The cubic root of 2242329768 is about 1308.8799874721.

The spelling of 2242329768 in words is "two billion, two hundred forty-two million, three hundred twenty-nine thousand, seven hundred sixty-eight".