282100380 has 96 divisors (see below), whose sum is σ = 841264704. Its totient is φ = 70385664.

The previous prime is 282100367. The next prime is 282100387. The reversal of 282100380 is 83001282.

It is a super-2 number, since 2×282100380² = 159161248792288800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 282100380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282100387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196144 + ... + 197576.

It is an arithmetic number, because the mean of its divisors is an integer number (8763174).

Almost surely, 2^282100380 is an apocalyptic number.

282100380 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 282100380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420632352).

282100380 is an abundant number, since it is smaller than the sum of its proper divisors (559164324).

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

282100380 is a wasteful number, since it uses less digits than its factorization.

282100380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 282100380 is about 16795.8441288314. The cubic root of 282100380 is about 655.8450177949.

The spelling of 282100380 in words is "two hundred eighty-two million, one hundred thousand, three hundred eighty".