2678967761 has 2 divisors, whose sum is σ = 2678967762. Its totient is φ = 2678967760.

The previous prime is 2678967751. The next prime is 2678967769. The reversal of 2678967761 is 1677698762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2114620225 + 564347536 = 45985^2 + 23756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2678967761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2678967761.

It is not a weakly prime, because it can be changed into another prime (2678967769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1339483880 + 1339483881.

It is an arithmetic number, because the mean of its divisors is an integer number (1339483881).

Almost surely, 2^2678967761 is an apocalyptic number.

It is an amenable number.

2678967761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2678967761 is an equidigital number, since it uses as much as digits as its factorization.

2678967761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10668672, while the sum is 59.

The square root of 2678967761 is about 51758.7457440769. The cubic root of 2678967761 is about 1388.8515540231.

The spelling of 2678967761 in words is "two billion, six hundred seventy-eight million, nine hundred sixty-seven thousand, seven hundred sixty-one".