Here is how I reduce the amount of characters passed into my report URL with parameters. Since Microsoft Internet Explorer has a maximum uniform resource locator (URL) length of 2,083 characters you have to get creative.
First, add parameter values for all variables. The other option would be to use a defaults
table.

Then union the parameter(s) to the datasets for your other parameters. This way you'll get the all option in your parameter dropdowns.
;WITH
teams_source
AS
(
SELECT tbl.* FROM (VALUES
( 2323304)
, ( 2323305)
, ( 2323306)
, ( 2323307)
, ( 2323308)
, ( 2323309)
, ( 2323310)
, ( 2323311)
, ( 2323312)
, ( 2323313)
, ( 2323314)
, ( 2323315)
, ( 2323316)
) tbl ([Teams])
)
SELECT [Teams], [TeamsFormat] = CAST([Teams] AS VARCHAR) FROM teams_source
UNION
SELECT [Teams] = @all_value_nbr, [TeamsFormat] = @all_value_text
ORDER BY 1


Then in the dataset for your report change the WHERE
clause to check for the all variable.
WHERE
1=1
AND (@all_value_nbr IN(@Teams) OR [Teams] IN(@Teams))
When you build the URL with parameters, you can count the number of values.
IIF(Parameters!Teams.Count = Count(Fields!Teams.Value, "TeamsDataset"), "", "@Teams=" + Join(Parameters!Teams.Value, "@Teams="))