SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    2347, 2377, 2378, 2380, 2384, 2416, 2417, 
    2428, 2451, 2485, 2614, 2617, 2622, 
    2623, 2625, 2626, 2632, 2633, 2651, 
    2671, 2673, 2418, 2439
  ) 
  AND category_id != 414

Query time 0.00049

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "23.31"
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "parent",
        "p_category_id"
      ],
      "key": "parent",
      "used_key_parts": [
        "parent_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 39,
      "rows_produced_per_join": 39,
      "filtered": "100.00",
      "index_condition": "(`s2cart`.`cscart_categories`.`parent_id` in (2347,2377,2378,2380,2384,2416,2417,2428,2451,2485,2614,2617,2622,2623,2625,2626,2632,2633,2651,2671,2673,2418,2439))",
      "cost_info": {
        "read_cost": "19.41",
        "eval_cost": "3.90",
        "prefix_cost": "23.31",
        "data_read_per_join": "138K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ],
      "attached_condition": "(`s2cart`.`cscart_categories`.`category_id` <> 414)"
    }
  }
}

Result

category_id parent_id
2348 2347
2429 2428
2430 2428
2431 2428
2432 2428
2433 2428
2434 2428
2435 2428
2436 2428
2440 2439
2441 2439
2442 2439
2452 2451
2453 2451
2454 2451
2455 2451
2456 2451
2615 2614
2616 2614
2618 2617
2619 2617
2620 2617
2621 2617