[SalesForce] Get the current DateTime – Lightning Component

I want to create a custom Lightning Component that has the same behavior as the new event with StartDateTime and EndDateTime fields. But my problem is that i cannot set the current date time in my attribute on the javascript doInit function. I suspect it's because the format of the date in Lightning is different. How could i set now datetime my input? Code below:
CMP

<!-- 2020-05-12 @ggalaios This Lightning Component handles the Start Date and End Date as well as Is All Day Event on event record-->

<aura:component implements="force:appHostable,flexipage:availableForAllPageTypes,flexipage:availableForRecordHome,force:hasRecordId,forceCommunity:availableForAllPageTypes,force:lightningQuickAction" access="global" >
    <!-- Define Attributes -->
    <aura:attribute name="inputType" type="String" default="datetime"/> <!-- set dynamically the type of the input -->
    <aura:attribute name="startDatetime" type="Datetime" />
    <!-- Handlers Declaration -->
    <aura:handler name="init" value="{!this}" action="{!c.doInit}"/>

    <lightning:input type="{!v.inputType}" name="startDateTime" value="{!v.startDatetime}" label="{!$Label.c.Start}" onchange="{!c.handleHourChange}" />
    <lightning:input type="{!v.inputType}" name="endDateTime" label="{!$Label.c.End}" />
</aura:component>

Controller JS

({
    doInit : function(component, event, helper) {
        var today = new Date();
        var date = today.getFullYear()+'-'+(today.getMonth()+1)+'-'+today.getDate();
        var time = (today.getHours() +1) + ":" + today.getMinutes() + ":" + today.getSeconds();
        var dateTime = date+' '+time;
        console.log('Date Time is: ' +dateTime);
        //component.set("v.startDatetime", dateTime);
    },

    handleHourChange : function(component, event, helper) {
        console.log('handled');
        console.log(component.get("v.startDatetime"));
    }
})