282270240 has 288 divisors, whose sum is σ = 1129355136. Its totient is φ = 62853120.

The previous prime is 282270217. The next prime is 282270257. The reversal of 282270240 is 42072282.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412939 + ... + 413621.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^282270240 is an apocalyptic number.

282270240 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 282270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568).

282270240 is an abundant number, since it is smaller than the sum of its proper divisors (847084896).

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

282270240 is a wasteful number, since it uses less digits than its factorization.

282270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 282270240 is about 16800.8999758941. The cubic root of 282270240 is about 655.9766251834.

The spelling of 282270240 in words is "two hundred eighty-two million, two hundred seventy thousand, two hundred forty".