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No. The sum of four consecutive integers is two odd numbers plus two even numbers which is an even number. 2001 is an odd number, therefore it cannot be the sum of four consecutive numbers.
The numbers are 62 and 64.
124 + 125 + 126 = 375
There are four consecutive 3-digit numbers with a sum of 2,494: 622, 623, 624 and 625.
The four consecutive natural numbers whose sum is 214 are 52, 53, 54 and 55.