2583285282 has 24 divisors (see below), whose sum is σ = 5652539100. Its totient is φ = 852568800.

The previous prime is 2583285281. The next prime is 2583285301. The reversal of 2583285282 is 2825823852.

2583285282 is a `hidden beast` number, since 25 + 83 + 28 + 528 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2578709961 + 4575321 = 50781^2 + 2139^2 .

It is not an unprimeable number, because it can be changed into a prime (2583285281) 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 11 ways as a sum of consecutive naturals, for example, 708657 + ... + 712292.

Almost surely, 2^2583285282 is an apocalyptic number.

2583285282 is an abundant number, since it is smaller than the sum of its proper divisors (3069253818).

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

2583285282 is a wasteful number, since it uses less digits than its factorization.

2583285282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421058 (or 1421055 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2583285282 is about 50826.0295714706. The cubic root of 2583285282 is about 1372.1158776548.

The spelling of 2583285282 in words is "two billion, five hundred eighty-three million, two hundred eighty-five thousand, two hundred eighty-two".