2776268320 has 96 divisors (see below), whose sum is σ = 7506390528. Its totient is φ = 950535168.

The previous prime is 2776268309. The next prime is 2776268321. The reversal of 2776268320 is 238626772.

2776268320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2776268321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133337 + ... + 1135783.

It is an arithmetic number, because the mean of its divisors is an integer number (78191568).

Almost surely, 2^2776268320 is an apocalyptic number.

2776268320 is a gapful number since it is divisible by the number (20) 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 2776268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753195264).

2776268320 is an abundant number, since it is smaller than the sum of its proper divisors (4730122208).

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

2776268320 is a wasteful number, since it uses less digits than its factorization.

2776268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 2776268320 is about 52690.3057497297. The cubic root of 2776268320 is about 1405.4664375015.

The spelling of 2776268320 in words is "two billion, seven hundred seventy-six million, two hundred sixty-eight thousand, three hundred twenty".