I know that the movie is already a bit out dated but I just found this little costume design trivia which lead me to this assumption:
This sleeveless black dress, that Lucy (Scarlett Johanssen) wears on her Odyssey through New York, is called 'Mummy Dress'!
It's handmade by luxury fashion designer Iris van Herpen in the Netherlands, Europe.
The model name fits to Scarlett's role as an innocent woman - 'mother earth'? - who gets ‘pregnant‘ with a drug cocktail that changes her life and the life of Morgan Freeman - the former God actor in Bruce Almighty - and mankind dramatically…
I don't know why this dress is named 'Mummy Dress' or if costume designer Olivier Bériot and movie director Luc Besson chose this special dress with this message in mind, but I think, it's a nice metaphor and bold theory.