222581882880 has 720 divisors, whose sum is σ = 913515926400. Its totient is φ = 50790924288.

The previous prime is 222581882837. The next prime is 222581882881. The reversal of 222581882880 is 88288185222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (222581882881) 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 39 ways as a sum of consecutive naturals, for example, 371588821 + ... + 371589419.

It is an arithmetic number, because the mean of its divisors is an integer number (1268772120).

Almost surely, 2^222581882880 is an apocalyptic number.

222581882880 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 222581882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456757963200).

222581882880 is an abundant number, since it is smaller than the sum of its proper divisors (690934043520).

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

222581882880 is an frugal number, since it uses more digits than its factorization.

222581882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 222581882880 in words is "two hundred twenty-two billion, five hundred eighty-one million, eight hundred eighty-two thousand, eight hundred eighty".