According to various websites, many people have reported various issues related to the new PS4 2.0 update including inaccessible PSN and some other issues. for more information visit the following links:
PSN goes down following PS4 update 2.0 - GameZone
Report: PS4 users report myriad issues following 2.0 update | Joystiq
PSN goes down following PS4 update 2.0 - GameZone
Report: PS4 users report myriad issues following 2.0 update | Joystiq