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2880 is the number following 2879 and preceding 2881[1].

Properties[]

  • 2880 is abundant.[9]
  • Its prime factorization is 26 × 32 × 51.
  • 2880 is a Harshad number, meaning it is divisible by the sum of its digits.[10]
  • 2880 is the smallest number with exactly n divisors.[11]
  • 2880 divides the (right) concatenation of all numbers <= 2880 written in base 25 (most significant digit on left).[12]
  • 2880 is the number of graphs with 6 nodes on a circle without crossing edges.[13]
  • 2880 is a minimal number.[14]
  • 2880 is a highly factorable numbers: a number with a record number of proper factorizations.[15]
  • First positive integer with the 43rd omega-sequence.[16]

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 54 ↑ 2
Scientific notation 2.88 x 103 2.881 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 28[2] 29[2]
Chained arrow notation 54 → 2
Bowers' Exploding Array Function/Bird's array notation {54,2}
Fast-growing hierarchy f2(8) f2(9)
Hardy hierarchy Hω(1440) Hω(1440)
Middle-growing hierarchy m(ω,11) m(ω,12)
Hyper-E notation E3.4594
Hyper-E notation (non-10 base) \(E[54]2\)
Hyperfactorial array notation 6! 7!
X-Sequence Hyper-Exponential Notation 54{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [2] [3]
H* function H(0.1) H(0.2)
Bashicu matrix system with respect to version 4 (0)[53] (0)[54]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(1439)\) \(s(1)(\lambda x . x+1)(1440)\)

Sources[]