We present sensitive 850 µm imaging of the COSMOS field using 640 hr of new and archival observations taken with SCUBA-2 at the East Asian Observatory's James Clerk Maxwell Telescope. The SCUBA-2 COSMOS survey (S2COSMOS) achieves a median noise level of σ 850µm = 1.2 mJy beam −1 over an area of 1.6 sq. degree (main; Hubble Space Telescope / Advanced Camera for Surveys footprint), and σ 850µm = 1.7 mJy beam −1 over an additional 1 sq. degree of supplementary (supp) coverage. We present a catalogue of 1020 and 127 sources detected at a significance level of > 4 σ and > 4.3 σ in the main and supp regions, respectively, corresponding to a uniform 2 % false-detection rate. We construct the single-dish 850 µm number counts at S 850 > 2 mJy and show that these S2COSMOS counts are in agreement with previous single-dish surveys, demonstrating that degree-scale fields are sufficient to overcome the effects of cosmic variance in the S 850 = 2-10 mJy population. To investigate the properties of the galaxies identified by S2COSMOS sources we measure the surface density of nearinfrared-selected galaxies around their positions and identify an average excess of 2.0 ± 0.2 galaxies within a 13 radius (∼ 100 kpc at z ∼ 2). The bulk of these galaxies represent near-infrared-selected SMGs and / or spatially-correlated sources and lie at a median photometric redshift of z = 2.0 ± 0.1. Finally, we perform a stacking analysis at sub-millimeter and far-infrared wavelengths of stellar-massselected galaxies (M = 10 10 -10 12 M ) from z = 0-4, obtaining high-significance detections at 850 µm in all subsets (signal-to-noise ratio, SNR = 4-30), and investigate the relation between far-infrared luminosity, stellar mass, and the peak wavelength of the dust SED. The publication of this survey adds a new deep, uniform sub-millimeter layer to the wavelength coverage of this well-studied COSMOS field.