282048042276 has 1296 divisors, whose sum is σ = 1070103495552. Its totient is φ = 63187153920.

The previous prime is 282048042239. The next prime is 282048042277. The reversal of 282048042276 is 672240840282.

282048042276 is a `hidden beast` number, since 2 + 82 + 0 + 4 + 80 + 422 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (282048042277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3863671776 + ... + 3863671848.

Almost surely, 2^282048042276 is an apocalyptic number.

282048042276 is a gapful number since it is divisible by the number (26) 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 282048042276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535051747776).

282048042276 is an abundant number, since it is smaller than the sum of its proper divisors (788055453276).

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

282048042276 is a wasteful number, since it uses less digits than its factorization.

282048042276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 282048042276 in words is "two hundred eighty-two billion, forty-eight million, forty-two thousand, two hundred seventy-six".