To find the sum of the given arithmetic series, we can use the formula for the sum of an arithmetic series:

Sn = (n/2)(a1 + an)

where Sn is the sum of the series, n is the number of terms, a1 is the first term, and an is the last term.

In this case, the first term (a1) is 2061 and the last term (an) is 2257. We need to find the number of terms (n) in order to use the formula.

To find the number of terms, we can use the formula:

an = a1 + (n-1)d

where d is the common difference.

In this case, the common difference is 2065 - 2061 = 4.

2257 = 2061 + (n-1)4

2257 - 2061 = 4n - 4

196 = 4n - 4

200 = 4n

n = 200/4

n = 50

Now that we know the number of terms (n), we can substitute the values into the formula for the sum of an arithmetic series:

Sn = (n/2)(a1 + an)

Sn = (50/2)(2061 + 2257)

Sn = 25(4318)

Sn = 107,950

Therefore, the sum of the series 2061 + 2065 + 2069 + ... + 2253 + 2257 is 107,950.