2242553200000 has 384 divisors, whose sum is σ = 5748304272480. Its totient is φ = 870912000000.

The previous prime is 2242553199949. The next prime is 2242553200007. The reversal of 2242553200000 is 23552422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242553200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4145199730 + ... + 4145200270.

Almost surely, 2^{2242553200000} is an apocalyptic number.

2242553200000 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 2242553200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874152136240).

2242553200000 is an abundant number, since it is smaller than the sum of its proper divisors (3505751072480).

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

2242553200000 is an frugal number, since it uses more digits than its factorization.

2242553200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 2242553200000 its reverse (23552422), we get a palindrome (2242576752422).

The spelling of 2242553200000 in words is "two trillion, two hundred forty-two billion, five hundred fifty-three million, two hundred thousand".