2205288 has 48 divisors (see below), whose sum is σ = 6048900. Its totient is φ = 725760.

The previous prime is 2205283. The next prime is 2205293. The reversal of 2205288 is 8825022.

It is an interprime number because it is at equal distance from previous prime (2205283) and next prime (2205293).

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 79524 = 1458^2 + 282^2 .

It is not an unprimeable number, because it can be changed into a prime (2205283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7708 + ... + 7988.

2^2205288 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 2205288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024450).

2205288 is an abundant number, since it is smaller than the sum of its proper divisors (3843612).

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

2205288 is a wasteful number, since it uses less digits than its factorization.

2205288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

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

The square root of 2205288 is about 1485.0212119697. The cubic root of 2205288 is about 130.1632662694.

The spelling of 2205288 in words is "two million, two hundred five thousand, two hundred eighty-eight".