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Your maths is correct. Also thats probably maximum so divide by 1.4 for RMS . So most likely about 80 watts and since music is dynamic with around 10 db crest factor , that amp would only play around 20 watts continuos without distortion.
When an amp has big claims they generally are not true.
You sitting down 120 amps.+ and - cables to all my amps are either 4 or 1/0 gauge.
See simple math for every doubling of power you need 3 db
1 watt 3 db
2 watt 6 db
4 watt 9 db
8 watt 12 db
16 watt 15 db
32 watt 18 db
64 watt 21 db
128 watt 24 db
256 watt 27 db
512 watt 30 db
1024 watt 33 db
2048 watt 36 db
most speakers ar about 87- 90 db efficient so a 2048 watt amp will only play 120 db
remove the crest factor and you get 110 db
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