Sounds like your water pump is toast and it's not a cheap fix. $600-700 for the parts alone (water pump, thermostat, coolant) + labor. Sorry...
- 2E81 - Electric coolant pump, speed deviation, speed outside the tolerance
- 2E82 - Electric coolant pump cutoff, over-current
2010 535i M Sport - Platinum Gray/Dakota Black/Anthracite Bamboo
JB4 G5 ISO, BMS DCIs, ER Charge Pipe with Forge DVs, Proform Clear Bra, LUX H8 160 LED angel eyes