2222221310400 has 672 divisors, whose sum is σ = 9262730702848. Its totient is φ = 453736857600.

The previous prime is 2222221310333. The next prime is 2222221310411. The reversal of 2222221310400 is 40131222222.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13458744 + ... + 13622856.

Almost surely, 2^{2222221310400} is an apocalyptic number.

2222221310400 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 2222221310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631365351424).

2222221310400 is an abundant number, since it is smaller than the sum of its proper divisors (7040509392448).

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

2222221310400 is a wasteful number, since it uses less digits than its factorization.

2222221310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164189 (or 164174 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2222221310400 its reverse (40131222222), we get a palindrome (2262352532622).

The spelling of 2222221310400 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-one million, three hundred ten thousand, four hundred".