2242214544000 has 512 divisors, whose sum is σ = 7535375827200. Its totient is φ = 589731840000.

The previous prime is 2242214543999. The next prime is 2242214544209. The reversal of 2242214544000 is 4454122422.

It is a super-2 number, since 2×2242214544000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1536815271 + ... + 1536816729.

Almost surely, 2^{2242214544000} is an apocalyptic number.

2242214544000 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 2242214544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767687913600).

2242214544000 is an abundant number, since it is smaller than the sum of its proper divisors (5293161283200).

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

2242214544000 is a wasteful number, since it uses less digits than its factorization.

2242214544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 2242214544000 its reverse (4454122422), we get a palindrome (2246668666422).

The spelling of 2242214544000 in words is "two trillion, two hundred forty-two billion, two hundred fourteen million, five hundred forty-four thousand".