Eugenios I would "head off" a possible direction that some (not necessarily you) would take this:
They are self-sufficient, they are not buffeted by the waves of Chance, they remain unperturbed and choose to not concern themselves with the worries of the world.
A Stoic might of course say that this is pure stoicism - by force of mental willpower choose to detach oneself from "the worries of the world."
Of course I would say that is not the case whatsoever, any more than it is of essential importance to us as humans to , by force of mental willpower, choose to be concerned with the worries of ants.
As to Epicureans gods living in the intermundia, an environment suited to them, or by them, to allow them to maintain constant pleasure which is constantly renewable to them without facing the inevitability of death or pain, I would say the essential characteristics we would seek to emulate are not significantly related to our "choosing not to be concerned with the troubles that ants may be having" but would again be describable as the best existence possible in the words attributed to Torquatus:
"The truth of the position that pleasure is the ultimate good will most readily appear from the following illustration. Let us imagine a man living in the continuous enjoyment of numerous and vivid pleasures alike of body and of mind, undisturbed either by the presence or by the prospect of pain: what possible state of existence could we describe as being more excellent or more desirable? One so situated must possess in the first place a strength of mind that is proof against all fear of death or of pain; he will know that death means complete unconsciousness, and that pain is generally light if long and short if strong, so that its intensity is compensated by brief duration and its continuance by diminishing severity. Let such a man moreover have no dread of any supernatural power; let him never suffer the pleasures of the past to fade away, but constantly renew their enjoyment in recollection, and his lot will be one which will not admit of further improvement."