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/Peo, FreeWebSpace.net
You should monitor your servers regularly and check the logs. This will help to find out unusual traffic, spikes and abnormal behavior (if any)) of the server. Either you have windows or linux server then should be scanned and update with the latest software.
Do you mean like an antivirus for a linux server? I'm sure there are some out there but I don't use them regularly. I know cpanel has some scans it does for certain attacks.