2,147,483,648
2,147,483,648 is 2³¹ — one more than a signed 32-bit integer can hold, and therefore the value at which one overflows.
- Even
- Composite
Where 2,147,483,648 fits
Why 2,147,483,648 is special
Its neighbour 2,147,483,647 gets the attention, but this is the number that actually breaks things: the first value that will not fit. Adding one to the maximum lands here and the result is interpreted as −2,147,483,648, which is why an overflow flips a large positive to a large negative rather than saturating.
2,147,483,648 is part of
Factors & digit properties
- Divisors (32)
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 2147483648
- Prime factorisation
- 2^31
- Digit sum
- 47
- Digital root
- 2
Representations
- Decimal
- 2147483648
- Scientific notation
- 2.147 × 10^9
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
Binary (base 2) as modelled here goes up to 1,000,000,000.
Octal
Octal (base 8) as modelled here goes up to 1,000,000,000.
Hexadecimal
Hexadecimal (base 16) as modelled here goes up to 1,000,000,000.
Other mathematical patterns
- Deficient number
- Powerful number
Related numbers & connections
2³¹ — one past the signed 32-bit maximum, and therefore the value at which a signed 32-bit counter overflows into negative territory.
Numbers Around Us
- appears inPowers of two
why?
Strength 0.50, confidence "high".
Technology & computing
The value at which a signed 32-bit integer overflows is 2,147,483,648. Counting seconds from 1970, a signed 32-bit clock reaches it on 19 January 2038 and wraps to 1901. The fix is a wider integer, and the work is finding every place a narrow one was stored.
DocumentedTechnology & computingGeography: worldwide
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026