I think that the fastest way to do this is to just clone the node, which will remove all event listeners:
var old_element = document.getElementById("btn");
var new_element = old_element.cloneNode(true);
old_element.parentNode.replaceChild(new_element, old_element);
Just be careful, as this will also clear event listeners on all child elements of the node in question, so if you want to preserve that you'll have to resort to explicitly removing listeners one at a time.