TimerTest.as

package
{

import flash.display.Sprite;
import flash.events.TimerEvent;
import flash.text.TextField;
import flash.utils.Timer;
import flash.utils.getTimer;

public class TimerTest extends Sprite
{

    public function TimerTest()
    {
        setup();
    }

    //public const MAX_INT:int = 2147483647;
    private var _count:int = int.MAX_VALUE;

    private var _startTime:int;
    private var _inc:int = 2;
    private var _timer:Timer;
    private var _tf:TextField;

    public function setup():void
    {
        _startTime = getTimer();

        _tf = new TextField();
        _tf.width = 500;
        _tf.x = 10;
        _tf.y = 10;

        _tf.text = "Searching for valid Timer delay, down from " + _count +
                   " in increments of " + _inc;

        addChild(_tf);

        continueCountdown();
    }

    protected function continueCountdown():void
    {
        _timer = new Timer(_count,1);
        _timer.addEventListener(TimerEvent.TIMER_COMPLETE,
                                onTimer,
                                false, 0, true);
        _timer.start();

        _count -= _inc;
    }

    protected function onTimer(event:TimerEvent):void
    {
        event.target.removeEventListener(event.type, arguments.callee);

        var runningTime:int = getTimer() - _startTime;

        _tf.text = "On Timer fired with a delay of " + event.target.delay +
                   " milliseconds it has been " + runningTime + " milliseconds" +
                   " since startup.";

        _timer.stop();
        _timer = null;

        continueCountdown();
    }

}

}

The following values represent the last value in passed to the timer that failed and executed immediately.

2147196983
2147275487
2147067837
2147026775
2146978533
2147208113
2147038535
2147483525
2147087787
2147015447