2205828 has 36 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 724080.

The previous prime is 2205823. The next prime is 2205839. The reversal of 2205828 is 8285022.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2205823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125 + ... + 2987.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

2^2205828 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 2205828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2205828 is an abundant number, since it is smaller than the sum of its proper divisors (3455100).

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

2205828 is a wasteful number, since it uses less digits than its factorization.

2205828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2205828 is about 1485.2030164257. The cubic root of 2205828 is about 130.1738895874.

The spelling of 2205828 in words is "two million, two hundred five thousand, eight hundred twenty-eight".