Check to make sure that none of your logs are at the 2G limit. Once that happens, no more logging. Make sure to checke all logs produced by syslog, ie. var/log/messages, /var/log/syslog and /var/log/debug.
If so, edit /etc/logrotate.conf to rotate more often. To empty log files and still save correct permission information run
Code:
cat /dev/null > /var/log/messages
Repeat on other oversized logs as needed.