2205642 has 32 divisors (see below), whose sum is σ = 4612608. Its totient is φ = 702576.

The previous prime is 2205629. The next prime is 2205649. The reversal of 2205642 is 2465022.

2205642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2205649) 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 15 ways as a sum of consecutive naturals, for example, 21363 + ... + 21465.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

2^2205642 is an apocalyptic number.

2205642 is an abundant number, since it is smaller than the sum of its proper divisors (2406966).

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

2205642 is a wasteful number, since it uses less digits than its factorization.

2205642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2205642 is about 1485.1403974036. The cubic root of 2205642 is about 130.1702306403.

The spelling of 2205642 in words is "two million, two hundred five thousand, six hundred forty-two".