2786768712 has 448 divisors, whose sum is σ = 9915696000. Its totient is φ = 714396672.

The previous prime is 2786768689. The next prime is 2786768723. The reversal of 2786768712 is 2178676872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3161088) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31311964 + ... + 31312052.

It is an arithmetic number, because the mean of its divisors is an integer number (22133250).

Almost surely, 2^2786768712 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 2786768712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957848000).

2786768712 is an abundant number, since it is smaller than the sum of its proper divisors (7128927288).

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

2786768712 is a wasteful number, since it uses less digits than its factorization.

2786768712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 2786768712 is about 52789.8542524982. The cubic root of 2786768712 is about 1407.2361249637.

The spelling of 2786768712 in words is "two billion, seven hundred eighty-six million, seven hundred sixty-eight thousand, seven hundred twelve".