2256184922880 has 576 divisors, whose sum is σ = 8384681346048. Its totient is φ = 506360954880.

The previous prime is 2256184922869. The next prime is 2256184922939. The reversal of 2256184922880 is 882294816522.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2256184922880.

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, 1552776234 + ... + 1552777686.

It is an arithmetic number, because the mean of its divisors is an integer number (14556738448).

Almost surely, 2^{2256184922880} is an apocalyptic number.

2256184922880 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 2256184922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192340673024).

2256184922880 is an abundant number, since it is smaller than the sum of its proper divisors (6128496423168).

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

2256184922880 is a wasteful number, since it uses less digits than its factorization.

2256184922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 2256184922880 in words is "two trillion, two hundred fifty-six billion, one hundred eighty-four million, nine hundred twenty-two thousand, eight hundred eighty".