2224242220200 has 1536 divisors, whose sum is σ = 9611864801280. Its totient is φ = 410572800000.

The previous prime is 2224242220141. The next prime is 2224242220217. The reversal of 2224242220200 is 20222424222.

2224242220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2244441705 + ... + 2244442695.

It is an arithmetic number, because the mean of its divisors is an integer number (6257724480).

Almost surely, 2^{2224242220200} is an apocalyptic number.

2224242220200 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 2224242220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805932400640).

2224242220200 is an abundant number, since it is smaller than the sum of its proper divisors (7387622581080).

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

2224242220200 is a wasteful number, since it uses less digits than its factorization.

2224242220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2224242220200 its reverse (20222424222), we get a palindrome (2244464644422).

It can be divided in two parts, 2224242 and 220200, that added together give a palindrome (2444442).

The spelling of 2224242220200 in words is "two trillion, two hundred twenty-four billion, two hundred forty-two million, two hundred twenty thousand, two hundred".