JQuery: How to count elements in an object

Function to count elements in an object using jquery:

var myObj = {
    1: {  44:  ['18',  'anna'],  55:  ['19',  'ina'],  66:  ['19',  'dina']  },
    2: {  11:  ['21', 'maria'],  33:  ['20',  'olga']  }
};

function object_counter(obj)
{
    var count = 0;
    $.each(obj, function(){
        ++count;
    });
    return count;
};

var cnt = object_counter(myObj); // cnt is 2