2040

View full site to see MathJax equation

View full site to see MathJax equation

2040 < 2039 | 2041 >
All Numbers
2000	2001	2002	2003	2004	2005	2006	2007	2008	2009
2010	2011	2012	2013	2014	2015	2016	2017	2018	2019
2020	2021	2022	2023	2024	2025	2026	2027	2028	2029
2030	2031	2032	2033	2034	2035	2036	2037	2038	2039
2040	2041	2042	2043	2044	2045	2046	2047	2048	2049
2050	2051	2052	2053	2054	2055	2056	2057	2058	2059
2060	2061	2062	2063	2064	2065	2066	2067	2068	2069
2070	2071	2072	2073	2074	2075	2076	2077	2078	2079
2080	2081	2082	2083	2084	2085	2086	2087	2088	2089
2090	2091	2092	2093	2094	2095	2096	2097	2098	2099

2,040 (two thousand forty) is the smallest number n, such that 2ⁿ cannot be stored on the TI-89 exact mode, according to Sbiis Saibian. It can be simulated online.

It is also the number of pips in a double-15 domino set.

Properties

• Its factors are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020 and 2040, making it a composite number.
• 2040 is an even number .
• 2040 is an unhappy number.
  

• 2040 is abundant.
  
• Its prime factorization is 2³ × 3¹ × 5¹ × 17¹.
  

Approximations

Notation	Lower bound	Upper bound
Up-arrow notation	45 ↑ 2
Scientific notation	2.04 x 103	2.041 x 103
Slow-growing hierarchy	\(g_{\omega^{\omega}}(4)\)	\(g_{\omega^{\omega}}(5)\)
Copy notation	20[2]	21[2]
Chained arrow notation	45 → 2
Bowers' Exploding Array Function/Bird's array notation	{45,2}
Fast-growing hierarchy	f2(7)	f2(8)
Hardy hierarchy	Hω(1020)	Hω(1020)
Middle-growing hierarchy	m(ω,10)	m(ω,11)
Hyper-E notation	E3.3096
Hyper-E notation (non-10 base)	\(E[45]2\)
Hyperfactorial array notation	6!	7!
X-Sequence Hyper-Exponential Notation	45{1}2
Steinhaus-Moser Notation	4[3]	5[3]
PlantStar's Debut Notation	[1]	[2]
H* function	H(0.1)	H(0.2)
Bashicu matrix system with respect to version 4	(0)[45]	(0)[46]
m(n) map	m(1)(4)	m(1)(5)
s(n) map	\(s(1)(\lambda x . x+1)(1019)\)	\(s(1)(\lambda x . x+1)(1020)\)