Yes, 2.works can receive emails.
Yes, 2.works seems to be a legitimate domain.
A record
99.83.190.102
MX records
alt1.aspmx.l.google.com
64.233.186.27
alt2.aspmx.l.google.com
209.85.202.26
alt3.aspmx.l.google.com
64.233.184.26
alt4.aspmx.l.google.com
142.250.153.27
aspmx.l.google.com
74.125.192.26