Hi Alan,

What's happening is the router is dropping the connection to the Apple TV. 
The Apple TV sees that the connection has dropped and tries to reconnect but 
your router is still keeping the reservation from the first connection. 

So the Apple TV tries to connect as whatever IP it has and tries to assign its 
Bonjour name. 
Since the router is still showing that IP as active, Bonjour sees a device 
called "Apple TV”.
Since Bonjour devices have to be unique, it bumps up the name by adding an 
increment, in this case "Apple TV (2)"

I would try shutting down and unplugging your AppleTV, while leaving it 
unplugged, reboot your  Airport Router. 
Wait for full connectivity to come back to your network and then plug your 
AppleTV back in and boot it up.

Rebooting of your Airport Router and Apple TV should clear this. - the airport 
routers cache information about bonjour names, which is also how, for example, 
they are able to act as a sleep proxy to do wireless wake on access for other 
apple products.

Apple TV can be renamed in Settings under AirPlay > Apple TV Name.

Cheers,
Ronni

> On 16 Nov 2015, at 12:20 PM, Alan Smith <sma...@iinet.net.au> wrote:
> 
> The network ID for my Apple TV (as used for AirPlay etc) is displayed as 
> Apple TV (2) on my devices.    How can I restore it to plain "Apple TV”?
> 
> Regards, 
> Alan
> 
> Alan Smith
>  Late 2012 iMac 27" Intel Quad Core i5  Fusion 3.2GHz 8G RAM - OSX 10.11.1 El 
> Capitan
>  Late 2009 iMac 21.5" Intel Core 2 Duo 3.06GHz 12G RAM - OSX 10.9.6 Mavericks
>  iPhone5;  iPad2;  ATV2
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