You can open an Estonian company with 0.01 € capital. It will look ridiculous in the registry, and you will still be liable for the remaining 2499.99 € personally anyway, but it is possible. I’ve seen a couple 100 € companies, which is more reasonable I guess.

You can also declare that you’ve paid the capital in, without any proof required for small amounts (up to 50k € IIRC). If you lie about it, I suppose you’ll be personally liable for everything, so definitely not worth risking it. Just put in like 500 €, set it aside on the business account, and don’t touch it.

(IANAL)