282149806680 has 384 divisors, whose sum is σ = 1102064356800. Its totient is φ = 64018999296.

The previous prime is 282149806657. The next prime is 282149806693. The reversal of 282149806680 is 86608941282.

It is a super-2 number, since 2×282149806680² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7230582 + ... + 7269498.

Almost surely, 2^282149806680 is an apocalyptic number.

282149806680 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 282149806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551032178400).

282149806680 is an abundant number, since it is smaller than the sum of its proper divisors (819914550120).

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

282149806680 is a wasteful number, since it uses less digits than its factorization.

282149806680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39088 (or 39071 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 282149806680 in words is "two hundred eighty-two billion, one hundred forty-nine million, eight hundred six thousand, six hundred eighty".