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Let's say you work an agency or in a specific company and you have a lot of ideas to expand the business in every digital aspect. Facebook campaigns, Facebook Applications, Twitter and Mobile interactive activities (Applications, Games, etc..)
This is the job of a Creative Director
I would call the person a Digital Creative Director. The general job titles of people working in digital marketing industry are digital marketing director, digital marketing manager, digital marketing analyst, digital marketing executive, digital marketing account manager, digital marketing strategist etc.