2766274560 has 432 divisors, whose sum is σ = 11123251776. Its totient is φ = 622854144.

The previous prime is 2766274529. The next prime is 2766274573. The reversal of 2766274560 is 654726672.

2766274560 is a `hidden beast` number, since 2 + 7 + 66 + 27 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41287647 + ... + 41287713.

It is an arithmetic number, because the mean of its divisors is an integer number (25748268).

Almost surely, 2^2766274560 is an apocalyptic number.

2766274560 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 2766274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561625888).

2766274560 is an abundant number, since it is smaller than the sum of its proper divisors (8356977216).

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

2766274560 is an frugal number, since it uses more digits than its factorization.

2766274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2766274560 is about 52595.3853489068. The cubic root of 2766274560 is about 1403.7779861772. Note that the first 3 decimals are identical.

The spelling of 2766274560 in words is "two billion, seven hundred sixty-six million, two hundred seventy-four thousand, five hundred sixty".