Using a sample of 158 million ϒ(2S) events collected with the Belle detector, charmonium and charmonium-like states with even charge parity are searched for in ϒ(2S) radiative decays. No significant χ_{cJ} or η_c signal is observed and the following upper limits at 90% confidence level (C.L.) are obtained: BR(ϒ(2S)\to γ χ_{c0})