282140982000 has 960 divisors, whose sum is σ = 1075672485888. Its totient is φ = 71383680000.

The previous prime is 282140981987. The next prime is 282140982023. The reversal of 282140982000 is 289041282.

282140982000 is a `hidden beast` number, since 28 + 21 + 409 + 8 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 919025847 + ... + 919026153.

Almost surely, 2^282140982000 is an apocalyptic number.

282140982000 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 282140982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537836242944).

282140982000 is an abundant number, since it is smaller than the sum of its proper divisors (793531503888).

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

282140982000 is a wasteful number, since it uses less digits than its factorization.

282140982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 282140982000 in words is "two hundred eighty-two billion, one hundred forty million, nine hundred eighty-two thousand".