<ListView
  Name="listviewNames">
  <ListView.View>
    <GridView>
      <GridView.Columns>
        <GridViewColumn
          Header="Number"
          DisplayMemberBinding="{Binding RelativeSource={RelativeSource FindAncestor, AncestorType={x:Type ListViewItem}} ,
          Converter={StaticResource IndexConverter}}" />
        <GridViewColumn
          Header="Name"
          DisplayMemberBinding="{Binding Path=Name}" />
      </GridView.Columns>
    </GridView>
  </ListView.View>
</ListView>

public class IndexConverter : IValueConverter
  {

    public object Convert(object value, Type TargetType, object parameter, CultureInfo culture)
    {
      ListViewItem item = (ListViewItem) value;
      ListView listView = ItemsControl.ItemsControlFromItemContainer(item) as ListView;
      int index = listView.ItemContainerGenerator.IndexFromContainer(item);
      return index.ToString();
    }
    public object ConvertBack(object value, Type targetType, object parameter, CultureInfo culture)
    {
      throw new NotImplementedException();
    }
  }