2766905856 has 720 divisors, whose sum is σ = 10513657440. Its totient is φ = 690094080.

The previous prime is 2766905809. The next prime is 2766905857. The reversal of 2766905856 is 6585096672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2766905857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145626615 + ... + 145626633.

It is an arithmetic number, because the mean of its divisors is an integer number (14602302).

Almost surely, 2^2766905856 is an apocalyptic number.

2766905856 is a gapful number since it is divisible by the number (26) 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 2766905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256828720).

2766905856 is an abundant number, since it is smaller than the sum of its proper divisors (7746751584).

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

2766905856 is a wasteful number, since it uses less digits than its factorization.

2766905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 2766905856 is about 52601.3864456062. The cubic root of 2766905856 is about 1403.8847642046.

The spelling of 2766905856 in words is "two billion, seven hundred sixty-six million, nine hundred five thousand, eight hundred fifty-six".