Sadly, as far as I know, Paypal only allows SMS. I believe business account, you cannot link your Paypal to Braintrees and thus you cannot use any 2-auth authenticator.
If I am wrong, please correct me, but I see no other options on Paypal, which is ridiculous, considering Paypal is such an important service. SMS should not be used for any critical services, but in cases like Paypal there is no choice.
It is possible to enroll hardware tokens, but I believe SMS is a prerequisite.
It's also allegedly possible to deactivate in a bunch of other ways, e.g. by adding a new credit card.