  Using an extension of the abundancy index to imaginary quadratic rings with
unique factorization, we define what we call $n$-powerfully perfect numbers in
these rings. This definition serves to extend the concept of perfect numbers
that have been defined and studied in the integers. We investigate the
properties of $2$-powerfully perfect numbers in the rings $\mathcal
O_{\mathbb{Q}(\sqrt{-1})}$, $\mathcal O_{\mathbb{Q}(\sqrt{-2})}$, and $\mathcal
O_{\mathbb{Q}(\sqrt{-7})}$, the three imaginary quadratic rings with unique
factorization in which $2$ is not a prime.
