282195540 has 144 divisors (see below), whose sum is σ = 938770560. Its totient is φ = 68048640.

The previous prime is 282195539. The next prime is 282195547. The reversal of 282195540 is 45591282.

282195540 is a `hidden beast` number, since 2 + 8 + 21 + 95 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 282195495 and 282195504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282195547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710622 + ... + 711018.

It is an arithmetic number, because the mean of its divisors is an integer number (6519240).

Almost surely, 2^282195540 is an apocalyptic number.

282195540 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 282195540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469385280).

282195540 is an abundant number, since it is smaller than the sum of its proper divisors (656575020).

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

282195540 is a wasteful number, since it uses less digits than its factorization.

282195540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 282195540 is about 16798.6767336002. The cubic root of 282195540 is about 655.9187541905.

The spelling of 282195540 in words is "two hundred eighty-two million, one hundred ninety-five thousand, five hundred forty".