2689935668 has 48 divisors (see below), whose sum is σ = 5532374400. Its totient is φ = 1120231296.

The previous prime is 2689935641. The next prime is 2689935683. The reversal of 2689935668 is 8665399862.

It is a self number, because there is not a number n which added to its sum of digits gives 2689935668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1280483 + ... + 1282581.

It is an arithmetic number, because the mean of its divisors is an integer number (115257800).

Almost surely, 2^2689935668 is an apocalyptic number.

2689935668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689935668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766187200).

2689935668 is an abundant number, since it is smaller than the sum of its proper divisors (2842438732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2689935668 is a wasteful number, since it uses less digits than its factorization.

2689935668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3382 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 62.

The square root of 2689935668 is about 51864.5897313379. The cubic root of 2689935668 is about 1390.7443295373.

The spelling of 2689935668 in words is "two billion, six hundred eighty-nine million, nine hundred thirty-five thousand, six hundred sixty-eight".