Let $R$ be an integral domain. $R$ is called a Prufer domain if every finitely generated ideal of $R$ is projective. There are various equivalent conditions for $R$ being a prufer domain , in terms of ideal arithmetic (intersection distributes over sum ; product distributes over intersection etc. ), localization ($R_m$ is a valuation fomain for every maximal ideal $m$; $R_P$ is a valuation domain for every prime ideal $P$ ) , integral closure (every ring between $R$ and its fraction field is integrally closed ) , flatness etc. See the definition section here https://en.m.wikipedia.org/wiki/Prüfer_domain
My question is : Can we similarly give some characterization for those integral domain $R$ for which every ideal, that can be generated by two elements, is projective ? Has these type of domains been studied before ?