282079082241 has 24 divisors (see below), whose sum is σ = 450577142496. Its totient is φ = 168615138240.

The previous prime is 282079082239. The next prime is 282079082293. The reversal of 282079082241 is 142280970282.

It is a happy number.

It is not a de Polignac number, because 282079082241 - 2¹ = 282079082239 is a prime.

It is a super-3 number, since 3×282079082241³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (282079082221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19508415 + ... + 19522868.

It is an arithmetic number, because the mean of its divisors is an integer number (18774047604).

Almost surely, 2^282079082241 is an apocalyptic number.

It is an amenable number.

282079082241 is a deficient number, since it is larger than the sum of its proper divisors (168498060255).

282079082241 is a wasteful number, since it uses less digits than its factorization.

282079082241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39031373 (or 39031370 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 282079082241 in words is "two hundred eighty-two billion, seventy-nine million, eighty-two thousand, two hundred forty-one".