2147483648

2147483648 is a natural number equal to 2^31. In decimal it is 2,147,483,648; in binary it is a 1 followed by 31 zeros (10000000 00000000 00000000 00000000), and in hexadecimal it is 0x80000000.

In the context of 32-bit integers, 2147483648 has particular significance. It is outside the positive range of a 32-bit signed integer in two's complement representation, whose values span from -2^31 to 2^31−1 (that is, -2147483648 to 2147483647). The unsigned 32-bit interpretation, however, includes 2147483648 as a valid value, equal to 2^31. Thus, 2147483648 can represent different meanings depending on interpretation: as unsigned, it is the value 2^31; as signed, when stored in a 32-bit register it represents the negative value -2147483648.

This number commonly appears in discussions of overflow, limits, and bit-level operations. It is the bit pattern 0x80000000, which often serves as a sign flag in various systems and as a boundary at which signed overflow can occur after arithmetic on 32-bit integers. In many programming languages, the maximum 32-bit signed integer is 2147483647, and operations that exceed this value wrap around to negative numbers, with 2147483648 representing -2147483648 in two’s complement.

Beyond integers, 2147483648 is also relevant in computing contexts involving memory addressing, file format limits, and protocol fields that depend on 32-bit boundaries.