282250080 has 144 divisors (see below), whose sum is σ = 1100814624. Its totient is φ = 64512000.

The previous prime is 282250079. The next prime is 282250091. The reversal of 282250080 is 80052282.

282250080 is a `hidden beast` number, since 2 + 82 + 2 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3921 + ... + 24080.

It is an arithmetic number, because the mean of its divisors is an integer number (7644546).

Almost surely, 2^282250080 is an apocalyptic number.

282250080 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 282250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550407312).

282250080 is an abundant number, since it is smaller than the sum of its proper divisors (818564544).

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

282250080 is a wasteful number, since it uses less digits than its factorization.

282250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28029 (or 28018 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 282250080 is about 16800.2999973215. The cubic root of 282250080 is about 655.9610079937.

The spelling of 282250080 in words is "two hundred eighty-two million, two hundred fifty thousand, eighty".