Give yourself at least five minutes to get the overly-long rediculous ATIS with a two minute rundown of the special procedures that should just be put in a damn permanent NOTAM. Tune in somewhere near the Kansas line, you'll get through the ATIS maybe three times before you make it to Denver. Hen heh.
(Kidding but not really. Consider yourself lucky if you're inbound and only want the friggin winds and you happen to tune in right when the weather is at on the recording. BTW a tip... If you're really just wanting weather, go to the AWOS first. Then the ATIS. The tower is very open to "We are still picking up the ATIS." during initial call up and you'll get it and be ready with the letter by the time they talk to you again at whatever reporting point they give you. They know how ridiculously long it is.
)