2256222259200 has 2304 divisors, whose sum is σ = 9783693803520. Its totient is φ = 445906944000.

The previous prime is 2256222259177. The next prime is 2256222259201. The reversal of 2256222259200 is 29522226522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2256222259201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17765529537 + ... + 17765529663.

It is an arithmetic number, because the mean of its divisors is an integer number (4246394880).

Almost surely, 2^{2256222259200} is an apocalyptic number.

2256222259200 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 2256222259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891846901760).

2256222259200 is an abundant number, since it is smaller than the sum of its proper divisors (7527471544320).

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

2256222259200 is a wasteful number, since it uses less digits than its factorization.

2256222259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 2256222259200 in words is "two trillion, two hundred fifty-six billion, two hundred twenty-two million, two hundred fifty-nine thousand, two hundred".