TT-DL19 TaoTronics Minimalist LED Desk Lamp ( Ultrathin Aluminum Alloy, Touch Control, Glare-Free, Memory Function, USB Charging Port, 5 Color Temperatures & 5 Brightness Levels - 3000-3500-4000-5000 & 6000K )

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•User Manual for TT-DL19

TT-DL19 User Manual.pdf  

FAQ

I went to the website, and it does not give exact information on the lifespan, but it is not a bulb, it uses LED technology. I would estimate 10years+ of life. I really like mine! https://www.taotronics.com/HomeLighting.html
I believe you meant "Lumens". According to the manual, it is 410 lm, with color temperature of 2700-6000K
If your desk vibrates, it will transfer the vibration to the lamp. It's normal, and it will happen to any lamp. Fix your desk so it doesn't vibrate. The lamp is very stable on its own.
The "product" box, i.e. the original box is was sold in was 17.5 X 8.75 X 3 inches. The shipping box was 19.5 X 14.25 X 3.25 inches.