22382884440 has 384 divisors, whose sum is σ = 87070464000. Its totient is φ = 5099625216.

The previous prime is 22382884427. The next prime is 22382884441. The reversal of 22382884440 is 4448828322.

It is a super-2 number, since 2×22382884440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22382884441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25348239 + ... + 25349121.

It is an arithmetic number, because the mean of its divisors is an integer number (226746000).

Almost surely, 2^22382884440 is an apocalyptic number.

22382884440 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 22382884440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535232000).

22382884440 is an abundant number, since it is smaller than the sum of its proper divisors (64687579560).

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

22382884440 is a wasteful number, since it uses less digits than its factorization.

22382884440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 22382884440 in words is "twenty-two billion, three hundred eighty-two million, eight hundred eighty-four thousand, four hundred forty".