Approximately 1935 Pieces: I am not sure what all of the pieces are called so I put them into piles. Email if you have questions. 

3 Orange T Caps

79 Purple 4 Slot Connector

30 Light Gray 2 Slot Connector

63 Yellow 2 Slot Connector

56 Red 3 Slot Connector

56 Blue 7 Slot Connector

136 Green 4 Slot Connector

20 Gray 4 Slot Connector

15 Tan T Caps

184 Green Sticks short

20 Light Green Sticks

174 White Pegs 

20 Orange Pegs

7 Dark Orange 5 Slot Connector

63 Yellow Sticks

4 Tan Long Sticks

4 Cream Long Sticks

40 Red long Sticks

8 Gray Gears

3 Blue Gears

1 Small Blue Gear

3 Black 4 Point Platforms

5 Yellow 3 Point Platforms

2 Blue 3 Point Platforms

3 Red Gears

2 Yellow Gears

1 Red Spacer

4 Gray Round Pulleys 

6 Wheels Difference Sizes

5 Wheel treads

23 Baby Blue Spacers

2 Gray Spacers

35 Gray Caps

107 Blue and Dark blue Sticks

1 Yellow Pulley

1 Gray Gear

12 Purple Caps

8 Blue-Green Joints Bendable

3 Light Green Bending Sticks

26 White 7 Slot Connectors

22 Orange 2 Slot Connectors

3 Black Long Sticks

3 Orange Sticks

8 Gray long Sticks

36 Mini Orange 2 Slot Connector

30 Mini Blue 4 Slot Connector

48 Mini Red 5 Slot Connector

84 Mini Black Sticks

3 Mini Tan 1 Slot Caps

14 Mini Long Blue Sticks

4 Mini to large Connectors

40 Mini Light Gray 4 Slot Connectors

19 Mini Black 8 Slot Connector

20 Mini Dark Gray 7 Slot Connector

27 Mini Purple Sticks

10 Blue Spacers

8 Gray Spacers

2 Little Gray Spacers

3 Gray T Connectors

3 Black Caps

3 Clear Spacers

5 Small Black Caps

5 Mini Red Sticks

13 Red Pegs

93 Mini Yellow Sticks

41 Mini Yellow 3 Slot Connectors

52 Mini Gray Sticks

29 Mini Red Sticks

33 Mini Purple Straight Connectors

4 Mini Light Blue Caps

9 Peg Light Yellow

26 Mini Green 1 Slot Connectors

Some chain not included in the count...