Executor thread pool

[John Smith]

How dumb am I being by not using an Executor with a named thread pool?
Currently I just have a Connector in server.xml:

<Connector port="8080" protocol="org.apache.coyote.http11.Http11NioProtocol"
                   connectionTimeout="20000"
                   redirectPort="8443" />

Assuming ~2000 simultaneous connections. Tomcat 7.0.42. RHEL6.

Best,
John