SQL Server 2008 convert int to dd:hh:mm - datetime

Question

How can I convert an int value (ie: 1800) which represents minutes into a value that looks like this: dd:hh:mm (days:hours:minutes).
So 1800 should be converted into 1:06:00 (1 day 6 hours 0 minutes).
In a stored procedure I have this:
SELECT
Record_ID, Project_ID, Ticket_ID, WO_Type, DC, Title, Device_Quantity,
Total/1440 as Total,
((Total - Elapsed) - DATEDIFF(mi, Record_Time, getdate())) as FinalTimeLeft,
Completed
FROM Record
How would I implement the casting into the SP? Above FinalTimeLeft=1800

Answer 1

How about this example - it does hours, minutes and seconds but it should be easy to modify for days, hours and minutes:
SELECT
CAST(mins / 3600 AS VARCHAR) + ':' +
RIGHT('0' + CAST((mins % 3600) / 60 AS VARCHAR), 2) + ':' +
RIGHT('0' + CAST(mins % 60 AS VARCHAR), 2)
FROM
(SELECT 1800 AS mins) a
EDIT: Included your stored procedure with my code amended for day, hour and minute:
SELECT
*
,CAST(FinalTimeLeft / 1440 AS VARCHAR) + ':' +
RIGHT('0' + CAST((FinalTimeLeft / 60) % 24 AS VARCHAR), 2) + ':' +
RIGHT('0' + CAST(FinalTimeLeft % 60 AS VARCHAR), 2) AS duration
FROM (
SELECT
Record_ID
,Project_ID
,Ticket_ID
,WO_Type
,DC
,Title
,Device_Quantity
,Total/1440 as Total
,((Total-Elapsed)-DATEDIFF(mi,Record_Time,getdate())) as FinalTimeLeft
,Completed
FROM record) a