2689819216677 has 16 divisors (see below), whose sum is σ = 3988004100160. Its totient is φ = 1791823777200.

The previous prime is 2689819216661. The next prime is 2689819216783. The reversal of 2689819216677 is 7766129189862.

2689819216677 is a `hidden beast` number, since 268 + 9 + 81 + 9 + 216 + 6 + 77 = 666.

It is not a de Polignac number, because 2689819216677 - 2⁴ = 2689819216661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689819216657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38548774 + ... + 38618487.

It is an arithmetic number, because the mean of its divisors is an integer number (249250256260).

Almost surely, 2^{2689819216677} is an apocalyptic number.

2689819216677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2689819216677 is a deficient number, since it is larger than the sum of its proper divisors (1298184883483).

2689819216677 is a wasteful number, since it uses less digits than its factorization.

2689819216677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77168561 (or 77168555 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 2689819216677 in words is "two trillion, six hundred eighty-nine billion, eight hundred nineteen million, two hundred sixteen thousand, six hundred seventy-seven".