Will a 2GB Flash Drive Hold Your Xbox Live Account? No—Accounts Live in the Cloud
No. A 2GB (or any size) flash drive **cannot store your Xbox Live account**.
Where Your Account Actually Lives
Microsoft Azure Cloud: Your Gamertag, password hash, friends list, achievements, purchase licenses, cloud saves, settings, and profile data are stored on Microsoft's servers.
Console Cache: The Xbox 360/One/Series caches a *local copy* of your profile (few MB) for offline access. This is in internal NAND/HDD—not removable USB.
What a USB Drive *Can* Store on Xbox 360
Game Saves: Move/copy saves from HDD to USB (configured as "Storage Device" up to 32GB per stick, 2 max).
Profiles (Offline Copy): You can copy your *profile file* to USB to move it to another 360—but it still requires Xbox Live sign-in to sync achievements/licenses.
DLC / Arcade Games / Updates: Installed content.
Xbox One/Series: USB 3.0 drives for **game storage only** (not system/profile). Formatted as Xbox storage.
If You Want to "Take Your Account" Somewhere
Sign in on the target console with your email/password (or QR code on Xbox app).
Your profile downloads from cloud (seconds).
No USB needed.
Flash Drive Use Case
Only for **moving saves between offline 360s** or **expanding storage for games** on 360/One/Series. Never for "holding your account."