22284218880 has 1280 divisors, whose sum is σ = 101822054400. Its totient is φ = 4485611520.

The previous prime is 22284218867. The next prime is 22284218893. The reversal of 22284218880 is 8881248222.

It is an interprime number because it is at equal distance from previous prime (22284218867) and next prime (22284218893).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×22284218880² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282078681 + ... + 282078759.

It is an arithmetic number, because the mean of its divisors is an integer number (79548480).

Almost surely, 2^22284218880 is an apocalyptic number.

22284218880 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 22284218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50911027200).

22284218880 is an abundant number, since it is smaller than the sum of its proper divisors (79537835520).

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

22284218880 is a wasteful number, since it uses less digits than its factorization.

22284218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 22284218880 in words is "twenty-two billion, two hundred eighty-four million, two hundred eighteen thousand, eight hundred eighty".