2689200257 has 2 divisors, whose sum is σ = 2689200258. Its totient is φ = 2689200256.

The previous prime is 2689200221. The next prime is 2689200259. The reversal of 2689200257 is 7520029862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2309379136 + 379821121 = 48056^2 + 19489^2 .

It is a cyclic number.

It is not a de Polignac number, because 2689200257 - 2¹⁴ = 2689183873 is a prime.

Together with 2689200259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2689200259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1344600128 + 1344600129.

It is an arithmetic number, because the mean of its divisors is an integer number (1344600129).

Almost surely, 2^2689200257 is an apocalyptic number.

It is an amenable number.

2689200257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2689200257 is an equidigital number, since it uses as much as digits as its factorization.

2689200257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 2689200257 is about 51857.4995251410. The cubic root of 2689200257 is about 1390.6175778197.

The spelling of 2689200257 in words is "two billion, six hundred eighty-nine million, two hundred thousand, two hundred fifty-seven".