Hi maximumslowness - (great name),
The 2nd gen Touch has one internal speaker, so you can listen to it, (both left and right channels) without headphones.
However - it's a small single speaker and it is not very loud. It's not designed for quality listening (neither is the speaker on the 3rd gen as far as I know) and probably will not be adequate if there is a lot of background noise nearby.
One option is to drop the iPod (not literally!) into an iPod Docking station so that the sound can play out through a self-contained mains-powered amplified speaker, which will also charge your iPod. There are many on the market. On the bottom of the iPod is the 30-pin dock connector which can be used to feed the audio to a docking station. Another option is simply to use a cable to connect from the headphone socket to the audio input on any amplifier.
Yet another is to plug in a small fold-up style speakers, such as
http://www.amazon.co.uk/Portable-Folding-Speakers-iPods-Players/dp/B000A1QKNU/re f=sr_1_84?ie=UTF8&qid=1332326622&sr=8-84
or http://www.amazon.co.uk/Generation-Capsule-iPhone-Laptop-Speaker/dp/B002XNO7FQ/r ef=sr_1_6?ie=UTF8&qid=1332326656&sr=8-6
I've no idea how good the sound is, you'll have to judge that for yourself. The links are both to a UK store, but most countries will have a similar option.
I do not recieve any form of payment or compensatiion for the above links.
Message was edited by: the fiend