2282820584 has 48 divisors (see below), whose sum is σ = 4717949760. Its totient is φ = 1026968000.

The previous prime is 2282820581. The next prime is 2282820643. The reversal of 2282820584 is 4850282822.

It is a super-2 number, since 2×2282820584² = 10422539637468202112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282820581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 896417 + ... + 898959.

It is an arithmetic number, because the mean of its divisors is an integer number (98290620).

Almost surely, 2^2282820584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282820584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358974880).

2282820584 is an abundant number, since it is smaller than the sum of its proper divisors (2435129176).

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

2282820584 is a wasteful number, since it uses less digits than its factorization.

2282820584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 41.

The square root of 2282820584 is about 47778.8717321789. The cubic root of 2282820584 is about 1316.7113927943.

The spelling of 2282820584 in words is "two billion, two hundred eighty-two million, eight hundred twenty thousand, five hundred eighty-four".