2242823688 has 288 divisors, whose sum is σ = 7661757600. Its totient is φ = 606045888.

The previous prime is 2242823677. The next prime is 2242823689. The reversal of 2242823688 is 8863282422.

2242823688 is a `hidden beast` number, since 2 + 2 + 4 + 282 + 368 + 8 = 666.

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 (2242823689) 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 71 ways as a sum of consecutive naturals, for example, 3820531 + ... + 3821117.

It is an arithmetic number, because the mean of its divisors is an integer number (26603325).

Almost surely, 2^2242823688 is an apocalyptic number.

2242823688 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 2242823688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830878800).

2242823688 is an abundant number, since it is smaller than the sum of its proper divisors (5418933912).

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

2242823688 is a wasteful number, since it uses less digits than its factorization.

2242823688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 618 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2242823688 is about 47358.4595188653. The cubic root of 2242823688 is about 1308.9760831418.

The spelling of 2242823688 in words is "two billion, two hundred forty-two million, eight hundred twenty-three thousand, six hundred eighty-eight".