282290287680 has 560 divisors, whose sum is σ = 1066940153136. Its totient is φ = 70601932800.

The previous prime is 282290287603. The next prime is 282290287693. The reversal of 282290287680 is 86782092282.

282290287680 is a `hidden beast` number, since 282 + 2 + 9 + 0 + 287 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22948614144 + 259341673536 = 151488^2 + 509256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148494730 + ... + 148496630.

Almost surely, 2^282290287680 is an apocalyptic number.

282290287680 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 282290287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533470076568).

282290287680 is an abundant number, since it is smaller than the sum of its proper divisors (784649865456).

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

282290287680 is a wasteful number, since it uses less digits than its factorization.

282290287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 282290287680 in words is "two hundred eighty-two billion, two hundred ninety million, two hundred eighty-seven thousand, six hundred eighty".