Find the number of files downloaded from Event Handlers?

I don't think there's an explicit count here; I think the example given indicates that you could log who is downloading a file here and, if the count in a given time period is too high, throw an exception to stop more items being downloaded.  I've not done this before but, in this scenario, I assume you'd log to some third-party database, perhaps.

I would urge some caution though.  Things like offline files can download lots of content quickly.  That's a potentially viable thing for people to do, and you wouldn't want that to trigger your warnings.

Thanks Craig Hawker 

I ended up exporting the Event Logs to a xml file and did the postprocessing there.

One thing to notice when exporting the logs ExportAll Method (m-files.com)

The logs are exported with UTF time, not the current server time.