2242220132328 has 256 divisors, whose sum is σ = 6655973990400. Its totient is φ = 621872640000.

The previous prime is 2242220132323. The next prime is 2242220132353. The reversal of 2242220132328 is 8232310222422.

It is a super-2 number, since 2×2242220132328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2242220132323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93441100 + ... + 93465092.

It is an arithmetic number, because the mean of its divisors is an integer number (25999898400).

Almost surely, 2^{2242220132328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242220132328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327986995200).

2242220132328 is an abundant number, since it is smaller than the sum of its proper divisors (4413753858072).

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

2242220132328 is a wasteful number, since it uses less digits than its factorization.

2242220132328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24664 (or 24660 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 2242220132328 in words is "two trillion, two hundred forty-two billion, two hundred twenty million, one hundred thirty-two thousand, three hundred twenty-eight".