typescript define function argument type in abstract class

I want to be able to use a static method like this:

UpdateUrlAction.send('https://google.com')

UpdateCountAction.send(3)

I want to define that UpdateUrlAction.send only takes a string as the parameter, but UpdateCountAction accepts a number. The solution should be based on this general structure:

export default abstract class ChromeMessageAction {
    static action: string

    public static send(payload: Object|string|number) {
        ChromeMessageService.send(this.action, payload)
    }
}

export default class UpdateUrlAction extends ChromeMessageAction {
    action = 'updateUrl'
    payload: string
}

export default class UpdateUrlAction extends ChromeMessageAction {
    action = 'updateCount'
    payload: number
}

Is there some way to define the payload type without overriding the send method?