1080p is 2k. From Wikipedia:
“2K resolution is a generic term for display devices or content having a horizontal resolution of approximately 2,000 pixels.[1] In the movie projection industry, Digital Cinema Initiatives is the dominant standard for 2K output and defines a 2K format with a resolution of 2048 × 1080.[2][3] For television and consumer media, 1920 × 1080 is the most common 2K resolution, but this is normally referred to as 1080p.” (emphasis mine)
1080p is 2k. From Wikipedia: “2K resolution is a generic term for display devices or content having a horizontal resolution of approximately 2,000 pixels.[1] In the movie projection industry, Digital Cinema Initiatives is the dominant standard for 2K output and defines a 2K format with a resolution of 2048 × 1080.[2][3] For television and consumer media, 1920 × 1080 is the most common 2K resolution, but this is normally referred to as 1080p.” (emphasis mine)
You are correct.
I meant “2.8K (2880 × 1800)” or thereabouts but misremembered the naming.