2244214122400 has 144 divisors (see below), whose sum is σ = 5519356301088. Its totient is φ = 891036288000.

The previous prime is 2244214122373. The next prime is 2244214122407. The reversal of 2244214122400 is 42214124422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2244214122407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105743790 + ... + 105765010.

It is an arithmetic number, because the mean of its divisors is an integer number (38328863202).

Almost surely, 2^{2244214122400} is an apocalyptic number.

2244214122400 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 2244214122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759678150544).

2244214122400 is an abundant number, since it is smaller than the sum of its proper divisors (3275142178688).

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

2244214122400 is a wasteful number, since it uses less digits than its factorization.

2244214122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22215 (or 22202 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2244214122400 its reverse (42214124422), we get a palindrome (2286428246822).

The spelling of 2244214122400 in words is "two trillion, two hundred forty-four billion, two hundred fourteen million, one hundred twenty-two thousand, four hundred".