Get answers to the most popular FAQs and easily contact us through either a secure email address, a mailing address or our customer service phone numbers. your name, ZIP code, phone number, inquiry and best time to contact you. Central Bank of India Toll-Free Customer Care Number. Central Bank of India also offers three toll-free customer care numbers which customers can contact for. Contact Us. Corporate Office: Central Bank of India Chander Mukhi, Nariman Point Mumbai – Tel.: – CALL CENTER TOLL FREE NO.