Bills and coins now represent just 2 percent of Sweden’s economy, compared with 7.7 percent in the United States and 10 percent in the euro area. This year, only a fifth of all consumer payments in Sweden have been made in cash, compared with an average of 75 percent in the rest of the world, according to Euromonitor International.

Cards are still king in Sweden — with nearly 2.4 billion credit and debit transactions in 2013, compared with 213 million 15 years earlier. But even plastic is facing competition, as a rising number of Swedes use apps for everyday commerce.

At more than half of the branches of the country’s biggest banks, including SEB, Swedbank, Nordea Bank and others, no cash is kept on hand, nor are cash deposits accepted. They say they are saving a significant amount on security by removing the incentive for bank robberies.

Last year, Swedish bank vaults held around 3.6 billion krona in notes and coins, down from 8.7 billion in 2010, according to the Bank for International Settlements. Cash machines, which are controlled by a Swedish bank consortium, are being dismantled by the hundreds, especially in rural areas.