2222414016900 has 864 divisors, whose sum is σ = 8670213820800. Its totient is φ = 433791590400.

The previous prime is 2222414016883. The next prime is 2222414016923. The reversal of 2222414016900 is 96104142222.

It is a happy number.

It is a super-2 number, since 2×2222414016900² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 173497696 + ... + 173510504.

It is an arithmetic number, because the mean of its divisors is an integer number (10034969700).

Almost surely, 2^{2222414016900} is an apocalyptic number.

2222414016900 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 2222414016900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335106910400).

2222414016900 is an abundant number, since it is smaller than the sum of its proper divisors (6447799803900).

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

2222414016900 is a wasteful number, since it uses less digits than its factorization.

2222414016900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 2222414016900 in words is "two trillion, two hundred twenty-two billion, four hundred fourteen million, sixteen thousand, nine hundred".