2242004023100 has 144 divisors (see below), whose sum is σ = 4997512138752. Its totient is φ = 872709776640.

The previous prime is 2242004023019. The next prime is 2242004023139. The reversal of 2242004023100 is 13204002422.

It is a super-2 number, since 2×2242004023100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334474349 + ... + 334481051.

It is an arithmetic number, because the mean of its divisors is an integer number (34704945408).

Almost surely, 2^{2242004023100} is an apocalyptic number.

2242004023100 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 2242004023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498756069376).

2242004023100 is an abundant number, since it is smaller than the sum of its proper divisors (2755508115652).

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

2242004023100 is a wasteful number, since it uses less digits than its factorization.

2242004023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2242004023100 its reverse (13204002422), we get a palindrome (2255208025522).

The spelling of 2242004023100 in words is "two trillion, two hundred forty-two billion, four million, twenty-three thousand, one hundred".