I'm not sure where the "Deploy effortlessly" phrase is cited, but if it is around somewhere it's a little misleading. The strapline of AGK2 is "Code once and deploy". That is, you write the code once and then choose which platforms you want to deploy to without having to change any code.
If you press F5, you get a Windows Executable. I assume it does the same for Mac desktops apps on OS X
If you deploy to APK, you have the files for Android and Amazon
You can deploy the IPA files for iOS, but Apple insist on using a Mac for the packaging of apps
Blackberry, I don't recall but I think I used Eclipse and the Blackberry SDK.
Android, iOS and others all require additional setup within their services that you can't avoid, such as generating keys etc.
Quidquid latine dictum sit, altum sonatur