THE BEATLES is Filmotype Washington, which sadly has not had a proper digital revival:
http://luc.devroye.org/fonts-27506.html [search the page for a sample]

OPTI-Castcraft had a bootleg version of it, but use with extreme caution:
http://opti.netii.net/fonts-w/index.htm

Dave Bailey did a much better revival, but it doesn’t appear to have been released yet:
https://dave-bailey.squarespace.com/typeface-design/#/filmotype-washington/

SHE LOVES YOU is another Filmotype face, Filmotype Fleet. Again, OPTI-Castcraft did a pirated version, and there hasn't been a proper digital revival:
http://luc.devroye.org/fonts-27506.html
http://opti.netii.net/fonts-f/index.htm

SWAN S-4152 bears a passing resemblance to to Univers, but misses on several few details. No luck on a definitive ID.

Thanks so much for your help!

I tried in the font identification website http://en.likefont.com and there are 1944 matched fonts in total, and the most similar font is HelveticaNeueLT Com 83 HvEx Regular.
This is my identification result page for your image: http://en.likefont.com/community/2579320/

Thanks! I didn't know about en.likefont.com. HelveticaNeueLT Com 83 HvEx Regular does indeed look very similar to the one used on the cover; only the number 2 differs a little.