282533040 has 180 divisors, whose sum is σ = 1002328704. Its totient is φ = 71311104.

The previous prime is 282533033. The next prime is 282533077. The reversal of 282533040 is 40335282.

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 282532995 and 282533013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259377 + ... + 260463.

Almost surely, 2^282533040 is an apocalyptic number.

282533040 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 282533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501164352).

282533040 is an abundant number, since it is smaller than the sum of its proper divisors (719795664).

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

282533040 is a wasteful number, since it uses less digits than its factorization.

282533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 282533040 is about 16808.7191659567. The cubic root of 282533040 is about 656.1801384134.

The spelling of 282533040 in words is "two hundred eighty-two million, five hundred thirty-three thousand, forty".