2205632 has 56 divisors (see below), whose sum is σ = 5163312. Its totient is φ = 921600.

The previous prime is 2205629. The next prime is 2205649. The reversal of 2205632 is 2365022.

It is a happy number.

2205632 is nontrivially palindromic in base 12.

It is a d-powerful number, because it can be written as 2¹¹ + 2¹⁵ + 0 + 5⁹ + 6⁵ + 3¹¹ + 2¹⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9032 + ... + 9272.

It is an arithmetic number, because the mean of its divisors is an integer number (92202).

2^2205632 is an apocalyptic number.

2205632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581656).

2205632 is an abundant number, since it is smaller than the sum of its proper divisors (2957680).

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

2205632 is a wasteful number, since it uses less digits than its factorization.

2205632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2205632 is about 1485.1370307147. The cubic root of 2205632 is about 130.1700339169.

The spelling of 2205632 in words is "two million, two hundred five thousand, six hundred thirty-two".