It took a bit of a figuring it out, but this is how to use Moment.js in Angular 2 application...
Install Moment.js first:
npm install moment --save

Then, edit **systemjs.config.js:**
Add following into map array:
'moment': 'node_modules/moment'
And following into packages array:
'moment': { defaultExtension: 'js' }
So it looks like this:

Edit app.component.ts and add in following import:
import * as moment from 'moment/moment';

Now, you can use Moment.js in your component class, e.g.

Enjoy!