Unity wont let me Serialize and Save a Texture2d

Good day, i created a inventory for my game that i want to save into a file. The inventory will have items and each item will have a texture2d (and other variables of course). The probolem is that i cant seem to make the texture serializable. Here the code for the Item class:

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

[System.Serializable]
public class Item {

public string itemName;
public int itemID;
public string itemDesc;
public Texture2D itemIcon;
public int itemPower;
public int itemEnergy;
public int itemHp;
public int itemRarity; //1 comun, 2 raro, 3 epico, 4 legendario
public ItemType itemType;

public enum ItemType {
Weapon,
Armor,
Activable

}

public Item(string name, int id, string desc, int power, int energy, int hp, int rarity, ItemType type)
{
itemName = name;
itemID = id;
itemDesc = desc;
itemIcon = Resources.Load<Texture2D>("Item Icons/" + name);
itemPower = power;
itemEnergy = energy;
itemHp = hp;
itemRarity = rarity;
itemType = type;
}
public Item()
{

}
}

Here im trying to save my inventory with the item class:

[Serializable]
class PlayerData
{
public List<Item> inventory = new List<Item>();

public PlayerData()
{
for(int i = 0; i < 12; i++)
{
inventory.Add(new Item());
}
}
}

public void Save()
{
BinaryFormatter bf = new BinaryFormatter();
FileStream file = File.Create(Application.persistentDataPath + "/playerInfo.dat");

PlayerData data = new PlayerData();
for(int i = 0; i < inventory.Count; i++)
{
data.inventory = inventory;
}
bf.Serialize(file, data);
file.Close();

}