282217276224 has 672 divisors, whose sum is σ = 958548304896. Its totient is φ = 81696522240.

The previous prime is 282217276223. The next prime is 282217276249. The reversal of 282217276224 is 422672712282.

It is a happy number.

282217276224 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 17 + 2 + 7 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 282217276224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282217276223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231895264 + ... + 231896480.

It is an arithmetic number, because the mean of its divisors is an integer number (1426411168).

Almost surely, 2^282217276224 is an apocalyptic number.

282217276224 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 282217276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479274152448).

282217276224 is an abundant number, since it is smaller than the sum of its proper divisors (676331028672).

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

282217276224 is a wasteful number, since it uses less digits than its factorization.

282217276224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1303 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 282217276224 in words is "two hundred eighty-two billion, two hundred seventeen million, two hundred seventy-six thousand, two hundred twenty-four".