2776134816 has 768 divisors, whose sum is σ = 11054776320. Its totient is φ = 656916480.

The previous prime is 2776134797. The next prime is 2776134857. The reversal of 2776134816 is 6184316772.

2776134816 is a `hidden beast` number, since 27 + 7 + 613 + 4 + 8 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41434815 + ... + 41434881.

It is an arithmetic number, because the mean of its divisors is an integer number (14394240).

Almost surely, 2^2776134816 is an apocalyptic number.

2776134816 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 2776134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527388160).

2776134816 is an abundant number, since it is smaller than the sum of its proper divisors (8278641504).

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

2776134816 is a wasteful number, since it uses less digits than its factorization.

2776134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2776134816 is about 52689.0388600893. The cubic root of 2776134816 is about 1405.4439086513.

The spelling of 2776134816 in words is "two billion, seven hundred seventy-six million, one hundred thirty-four thousand, eight hundred sixteen".