Mastering Bitcoin - couple of questions

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self.Bitcoin1m ago
1. is there 2\^256 private keys? As in - every possible combination of 01001101010... etc can start receiving / sending funds? 2. If yes, does that mean that the 'first' private key of 0s only e.g. 000000000000... is basically publicly usable - because everyone 'knows' what this private key is, so everyone could access it if they put their mind to it?