282874992660 has 336 divisors, whose sum is σ = 960979677840. Its totient is φ = 69498777600.

The previous prime is 282874992623. The next prime is 282874992679. The reversal of 282874992660 is 66299478282.

282874992660 is a `hidden beast` number, since 2 + 8 + 2 + 87 + 499 + 2 + 6 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10372200336 + 272502792324 = 101844^2 + 522018^2 .

It is a super-2 number, since 2×282874992660² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 132866476 + ... + 132868604.

It is an arithmetic number, because the mean of its divisors is an integer number (2860058565).

Almost surely, 2^282874992660 is an apocalyptic number.

282874992660 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 282874992660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480489838920).

282874992660 is an abundant number, since it is smaller than the sum of its proper divisors (678104685180).

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

282874992660 is a wasteful number, since it uses less digits than its factorization.

282874992660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 282874992660 in words is "two hundred eighty-two billion, eight hundred seventy-four million, nine hundred ninety-two thousand, six hundred sixty".