282330240 has 64 divisors (see below), whose sum is σ = 899933760. Its totient is φ = 75287552.

The previous prime is 282330229. The next prime is 282330241. The reversal of 282330240 is 42033282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 282330240.

It is not an unprimeable number, because it can be changed into a prime (282330241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71604 + ... + 75443.

It is an arithmetic number, because the mean of its divisors is an integer number (14061465).

Almost surely, 2^282330240 is an apocalyptic number.

282330240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282330240 is an abundant number, since it is smaller than the sum of its proper divisors (617603520).

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

282330240 is a wasteful number, since it uses less digits than its factorization.

282330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147069 (or 147057 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 282330240 is about 16802.6854996456. The cubic root of 282330240 is about 656.0231005151.

The spelling of 282330240 in words is "two hundred eighty-two million, three hundred thirty thousand, two hundred forty".