2789666688 has 192 divisors, whose sum is σ = 8014164480. Its totient is φ = 858823680.

The previous prime is 2789666651. The next prime is 2789666707. The reversal of 2789666688 is 8866669872.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6296995 + ... + 6297437.

It is an arithmetic number, because the mean of its divisors is an integer number (41740440).

Almost surely, 2^2789666688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2789666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007082240).

2789666688 is an abundant number, since it is smaller than the sum of its proper divisors (5224497792).

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

2789666688 is a wasteful number, since it uses less digits than its factorization.

2789666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 502 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The square root of 2789666688 is about 52817.2953491562. The cubic root of 2789666688 is about 1407.7237534836.

The spelling of 2789666688 in words is "two billion, seven hundred eighty-nine million, six hundred sixty-six thousand, six hundred eighty-eight".