22242042240 has 256 divisors, whose sum is σ = 78114896640. Its totient is φ = 5338112000.

The previous prime is 22242042239. The next prime is 22242042299. The reversal of 22242042240 is 4224024222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22242042240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127907 + ... + 2138333.

It is an arithmetic number, because the mean of its divisors is an integer number (305136315).

Almost surely, 2^22242042240 is an apocalyptic number.

22242042240 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 22242042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39057448320).

22242042240 is an abundant number, since it is smaller than the sum of its proper divisors (55872854400).

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

22242042240 is a wasteful number, since it uses less digits than its factorization.

22242042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10561 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22242042240 its reverse (4224024222), we get a palindrome (26466066462).

The spelling of 22242042240 in words is "twenty-two billion, two hundred forty-two million, forty-two thousand, two hundred forty".