In Europe we have IBAN numbers for EUR account and it is not rememberable at all by avg. person same as bitcoin address you just copy paste it and check visually it is the same (to check for clipboard modifying viruses. Replacing long bitcoin address with shorter one which is still non memorable is useless.
If you want to make something like paypal with sending to email you should think about blockchain solution in which you could voluntarily publish email address
xzy@xyz.com belongs to bitcoin address ABC. Sort of named bitcoin address.
underhood, thanks for your comments.
Bank accounts are not rememberable. And yet they are used by millions of persons every day. They are still IMHO much more user friendly than a long series of case-sensitive characters. The purpose here is not creating a payment address you can remember but having something that a general population can use without fear.
Regarding the email-as-an-address it is an interesting idea. I think something could be done by using the
OP_RETURN scripting operation. But you would need more than a single payment destination to avoid privacy and security problems. Also, some sort of checksum is also a necessity. But I definitely concur that something along those lines is worth studying.