2789777676 has 144 divisors (see below), whose sum is σ = 7908316416. Its totient is φ = 749685888.

The previous prime is 2789777629. The next prime is 2789777687. The reversal of 2789777676 is 6767779872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5973595 + ... + 5974061.

It is an arithmetic number, because the mean of its divisors is an integer number (54918864).

Almost surely, 2^2789777676 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 2789777676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954158208).

2789777676 is an abundant number, since it is smaller than the sum of its proper divisors (5118538740).

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

2789777676 is a wasteful number, since it uses less digits than its factorization.

2789777676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its digits is 87127488, while the sum is 66.

The square root of 2789777676 is about 52818.3460172694. The cubic root of 2789777676 is about 1407.7424221861.

The spelling of 2789777676 in words is "two billion, seven hundred eighty-nine million, seven hundred seventy-seven thousand, six hundred seventy-six".