Coburg — The New Jersey school system is facing a crisis of teachers shortages, with a shortage of nearly 2,000 positions, the state education department said Friday.

The state Department of Education said the shortage in teachers was caused by a “technical glitch” in a state program that allows teachers to be paid overtime if they teach more than 20 hours a week.

The department said the problem has affected nearly 2.7 million teachers across the state.

It said the district of Coburg in New Jersey has 1,633 vacancies.

The number of vacancies is lower than the number of teachers hired in the past year, and it has not been more than 50 percent filled since the beginning of the year, the department said.

In New Jersey, about 11 percent of teachers are in paid positions, but the state has been in the top 10 in job growth over the past decade, according to a report from the New Jersey Office of Statewide Statistics.

New Jersey has an unemployment rate of 4.7 percent, the lowest in the nation.