282340826880 has 576 divisors, whose sum is σ = 1099788426240. Its totient is φ = 60292988928.

The previous prime is 282340826821. The next prime is 282340826881. The reversal of 282340826880 is 88628043282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282340826881) 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 63 ways as a sum of consecutive naturals, for example, 37278774 + ... + 37286346.

Almost surely, 2^282340826880 is an apocalyptic number.

282340826880 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 282340826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549894213120).

282340826880 is an abundant number, since it is smaller than the sum of its proper divisors (817447599360).

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

282340826880 is a wasteful number, since it uses less digits than its factorization.

282340826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 282340826880 in words is "two hundred eighty-two billion, three hundred forty million, eight hundred twenty-six thousand, eight hundred eighty".