282343803840 has 896 divisors, whose sum is σ = 1204046807040. Its totient is φ = 60914073600.

The previous prime is 282343803817. The next prime is 282343803851. The reversal of 282343803840 is 48308343282.

282343803840 is a `hidden beast` number, since 2 + 8 + 234 + 38 + 0 + 384 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76868244 + ... + 76871916.

It is an arithmetic number, because the mean of its divisors is an integer number (1343802240).

Almost surely, 2^282343803840 is an apocalyptic number.

282343803840 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 282343803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602023403520).

282343803840 is an abundant number, since it is smaller than the sum of its proper divisors (921703003200).

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

282343803840 is a wasteful number, since it uses less digits than its factorization.

282343803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 282343803840 in words is "two hundred eighty-two billion, three hundred forty-three million, eight hundred three thousand, eight hundred forty".