Catalyzes the cleavage of the glycosidic bond of 2'-deoxyribonucleosides and the transfer of the deoxyribosyl moiety to an acceptor purine or pyrimidine base. 2-deoxy-D-ribosyl-base(1) + base(2) = 2-deoxy-D-ribosyl-base(2) + base(1). Optimum pH is 6.0. Nucleotide metabolism; nucleotide salvage pathway. Homohexamer. Belongs to the nucleoside deoxyribosyltransferase family. Was originally thought to originate from E.coli.