2281326224320 has 896 divisors, whose sum is σ = 6939491328000. Its totient is φ = 701885399040.

The previous prime is 2281326224273. The next prime is 2281326224323. The reversal of 2281326224320 is 234226231822.

It is a self number, because there is not a number n which added to its sum of digits gives 2281326224320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281326224323) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5196642661 + ... + 5196643099.

It is an arithmetic number, because the mean of its divisors is an integer number (7744968000).

Almost surely, 2^{2281326224320} is an apocalyptic number.

2281326224320 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 2281326224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469745664000).

2281326224320 is an abundant number, since it is smaller than the sum of its proper divisors (4658165103680).

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

2281326224320 is a wasteful number, since it uses less digits than its factorization.

2281326224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 2281326224320 in words is "two trillion, two hundred eighty-one billion, three hundred twenty-six million, two hundred twenty-four thousand, three hundred twenty".