282005283840 has 1408 divisors, whose sum is σ = 1154044231680. Its totient is φ = 57330892800.

The previous prime is 282005283761. The next prime is 282005283883. The reversal of 282005283840 is 48382500282.

It is a super-2 number, since 2×282005283840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 282005283792 and 282005283801.

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, 3863086044 + ... + 3863086116.

Almost surely, 2^282005283840 is an apocalyptic number.

282005283840 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 282005283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577022115840).

282005283840 is an abundant number, since it is smaller than the sum of its proper divisors (872038947840).

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

282005283840 is a wasteful number, since it uses less digits than its factorization.

282005283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 282005283840 in words is "two hundred eighty-two billion, five million, two hundred eighty-three thousand, eight hundred forty".