282042120 has 128 divisors (see below), whose sum is σ = 877161600. Its totient is φ = 72493056.

The previous prime is 282042091. The next prime is 282042161. The reversal of 282042120 is 21240282.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616932 + ... + 617388.

It is an arithmetic number, because the mean of its divisors is an integer number (6852825).

Almost surely, 2^282042120 is an apocalyptic number.

282042120 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 282042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438580800).

282042120 is an abundant number, since it is smaller than the sum of its proper divisors (595119480).

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

282042120 is a wasteful number, since it uses less digits than its factorization.

282042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 282042120 is about 16794.1096816711. The cubic root of 282042120 is about 655.7998658276.

The spelling of 282042120 in words is "two hundred eighty-two million, forty-two thousand, one hundred twenty".