How do I save Entered Name and show it for the rest of the game?

absolute Unity beginner here. In a text game:

Start Screen says: "What is your name?" and there will be an InputField for Player to enter name.

How do I save that name and show it in the next scene? My InputName.class in C#:

 using UnityEngine;
 using System.Collections;
 using UnityEngine.UI;
  
 public class InputName : MonoBehaviour {
     public static string username = "";
    
    
     [SerializeField]
     InputField input;
    
     [SerializeField]
     public Text NameDisplay;
     public Text StartGame;
    
     public void GetInput(string username){
         Debug.Log ("Entered : "+username);
         input.text= " ";
         //username = input;
         NameDisplay.text = ("Hello, " +username.ToString()+"!");
         PlayerPrefs.GetString ("Username", username);
         Debug.Log (username);
         input.enabled = false;
        
         DontDestroyOnLoad(this)
         //Application.LoadLevel("Game2");
     }
  
     // Use this for initialization
     //void Start () {
         //NameDisplay.text = username;
     //} */
    
     //Update is called once per frame
     void Update(){
         if (input.enabled == false){
             LetsStartGame();       
             }
     }
     void LetsStartGame(){
         StartGame.text = "Press Space to Continue";
         if (Input.GetKeyDown(KeyCode.Space))
         Application.LoadLevel("Game2");
         }
     }

Once Player hits KeyCode.Space, Game2 will load. I would like to transfer the value from username variable into Game2 Scene. I tried the following code making username variable a static:

  public class PlayerName : MonoBehaviour {
 
  string usernameFromInputName;
 //public class _inputName_inputName{
 //public static string username;
   
 //[SerializeField]
 public Text text;
  
 // Use this for initialization
 void Start () {
      //text.text= InputName.username;
      
 }
   
 // Update is called once per frame
 void Update () {
     text.text = InputName.username;
     usernameFromInputName = InputName.username;
     //print (InputName.username);
     Debug.Log(InputName.username);
     //PlayerPrefs.GetString (inputName.username);
 }

}

There are no compiler errors but when Player enters their Name, their Name is not carried over to the next scene.

Hope my question makes sense and any help is appreciated.