282298240224 has 864 divisors, whose sum is σ = 1116179326080. Its totient is φ = 66508646400.

The previous prime is 282298240201. The next prime is 282298240243. The reversal of 282298240224 is 422042892282.

It is a hoax number, since the sum of its digits (45) 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 282298240224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119061759 + ... + 119064129.

It is an arithmetic number, because the mean of its divisors is an integer number (1291874220).

Almost surely, 2^282298240224 is an apocalyptic number.

282298240224 is a gapful number since it is divisible by the number (24) 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 282298240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558089663040).

282298240224 is an abundant number, since it is smaller than the sum of its proper divisors (833881085856).

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

282298240224 is a wasteful number, since it uses less digits than its factorization.

282298240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 282298240224 in words is "two hundred eighty-two billion, two hundred ninety-eight million, two hundred forty thousand, two hundred twenty-four".