2255244442000 has 320 divisors, whose sum is σ = 6171355008000. Its totient is φ = 789934080000.

The previous prime is 2255244441977. The next prime is 2255244442027. The reversal of 2255244442000 is 2444425522.

It is a happy number.

It is a super-2 number, since 2×2255244442000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71242176 + ... + 71273824.

It is an arithmetic number, because the mean of its divisors is an integer number (19285484400).

Almost surely, 2^{2255244442000} is an apocalyptic number.

2255244442000 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 2255244442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085677504000).

2255244442000 is an abundant number, since it is smaller than the sum of its proper divisors (3916110566000).

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

2255244442000 is a wasteful number, since it uses less digits than its factorization.

2255244442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31803 (or 31787 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

Adding to 2255244442000 its reverse (2444425522), we get a palindrome (2257688867522).

The spelling of 2255244442000 in words is "two trillion, two hundred fifty-five billion, two hundred forty-four million, four hundred forty-two thousand".