2766381912 has 192 divisors, whose sum is σ = 9052243200. Its totient is φ = 745562880.

The previous prime is 2766381901. The next prime is 2766381973. The reversal of 2766381912 is 2191836672.

2766381912 is a `hidden beast` number, since 2 + 7 + 6 + 638 + 1 + 9 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2939362 + ... + 2940302.

It is an arithmetic number, because the mean of its divisors is an integer number (47147100).

Almost surely, 2^2766381912 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 2766381912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526121600).

2766381912 is an abundant number, since it is smaller than the sum of its proper divisors (6285861288).

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

2766381912 is a wasteful number, since it uses less digits than its factorization.

2766381912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1279 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2766381912 is about 52596.4058848131. The cubic root of 2766381912 is about 1403.7961449466.

The spelling of 2766381912 in words is "two billion, seven hundred sixty-six million, three hundred eighty-one thousand, nine hundred twelve".