2767214265649 has 2 divisors, whose sum is σ = 2767214265650. Its totient is φ = 2767214265648.

The previous prime is 2767214265611. The next prime is 2767214265661. The reversal of 2767214265649 is 9465624127672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2426195640625 + 341018625024 = 1557625^2 + 583968^2 .

It is a cyclic number.

It is not a de Polignac number, because 2767214265649 - 2¹⁹ = 2767213741361 is a prime.

It is a super-2 number, since 2×2767214265649² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2767214265679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1383607132824 + 1383607132825.

It is an arithmetic number, because the mean of its divisors is an integer number (1383607132825).

Almost surely, 2^{2767214265649} is an apocalyptic number.

It is an amenable number.

2767214265649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2767214265649 is an equidigital number, since it uses as much as digits as its factorization.

2767214265649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60963840, while the sum is 61.

The spelling of 2767214265649 in words is "two trillion, seven hundred sixty-seven billion, two hundred fourteen million, two hundred sixty-five thousand, six hundred forty-nine".