The reality is harsh: No reputable source will ever give you 2,000 copyrighted songs for free in one click. If you find one, you are either about to commit a felony or install a Trojan.
The only safe, legal source for large zip files of music is the Internet Archive . You can find zip files of public domain music (1920s jazz, classical, folk), live bootlegs from bands that allow taping, and royalty-free creative commons packs. Search "2000 songs zip file site:archive.org" – but note these are rarely Billboard hits.
: You can now share your zip file via email, cloud storage (like Google Drive, Dropbox), or any file transfer service.