2220110200224 has 384 divisors, whose sum is σ = 7614647631360. Its totient is φ = 623910159360.

The previous prime is 2220110200223. The next prime is 2220110200261. The reversal of 2220110200224 is 4220020110222.

It is a super-2 number, since 2×2220110200224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220110200197 and 2220110200206.

It is not an unprimeable number, because it can be changed into a prime (2220110200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29846022 + ... + 29920314.

It is an arithmetic number, because the mean of its divisors is an integer number (19829811540).

Almost surely, 2^{2220110200224} is an apocalyptic number.

2220110200224 is a gapful number since it is divisible by the number (24) 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 2220110200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807323815680).

2220110200224 is an abundant number, since it is smaller than the sum of its proper divisors (5394537431136).

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

2220110200224 is an frugal number, since it uses more digits than its factorization.

2220110200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74392 (or 74366 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220110200224 its reverse (4220020110222), we get a palindrome (6440130310446).

The spelling of 2220110200224 in words is "two trillion, two hundred twenty billion, one hundred ten million, two hundred thousand, two hundred twenty-four".