2213320022320 has 320 divisors, whose sum is σ = 5863978074240. Its totient is φ = 769550745600.

The previous prime is 2213320022317. The next prime is 2213320022341. The reversal of 2213320022320 is 232200233122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2213320022291 and 2213320022300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1494475980 + ... + 1494477460.

It is an arithmetic number, because the mean of its divisors is an integer number (18324931482).

Almost surely, 2^{2213320022320} is an apocalyptic number.

2213320022320 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 2213320022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931989037120).

2213320022320 is an abundant number, since it is smaller than the sum of its proper divisors (3650658051920).

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

2213320022320 is a wasteful number, since it uses less digits than its factorization.

2213320022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2213320022320 its reverse (232200233122), we get a palindrome (2445520255442).

The spelling of 2213320022320 in words is "two trillion, two hundred thirteen billion, three hundred twenty million, twenty-two thousand, three hundred twenty".