2760777216 has 320 divisors, whose sum is σ = 8995852800. Its totient is φ = 832094208.

The previous prime is 2760777211. The next prime is 2760777233. The reversal of 2760777216 is 6127770672.

2760777216 is a `hidden beast` number, since 27 + 607 + 7 + 7 + 2 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760777211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6040860 + ... + 6041316.

It is an arithmetic number, because the mean of its divisors is an integer number (28112040).

Almost surely, 2^2760777216 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 2760777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497926400).

2760777216 is an abundant number, since it is smaller than the sum of its proper divisors (6235075584).

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

2760777216 is a wasteful number, since it uses less digits than its factorization.

2760777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 2760777216 is about 52543.0986524396. The cubic root of 2760777216 is about 1402.8474726006.

The spelling of 2760777216 in words is "two billion, seven hundred sixty million, seven hundred seventy-seven thousand, two hundred sixteen".