2774056680 has 256 divisors, whose sum is σ = 9717926400. Its totient is φ = 702535680.

The previous prime is 2774056673. The next prime is 2774056717. The reversal of 2774056680 is 866504772.

2774056680 is a `hidden beast` number, since 2 + 7 + 7 + 4 + 0 + 566 + 80 = 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4495732 + ... + 4496348.

It is an arithmetic number, because the mean of its divisors is an integer number (37960650).

Almost surely, 2^2774056680 is an apocalyptic number.

2774056680 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 2774056680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858963200).

2774056680 is an abundant number, since it is smaller than the sum of its proper divisors (6943869720).

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

2774056680 is a wasteful number, since it uses less digits than its factorization.

2774056680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2774056680 is about 52669.3144060182. The cubic root of 2774056680 is about 1405.0931292566.

The spelling of 2774056680 in words is "two billion, seven hundred seventy-four million, fifty-six thousand, six hundred eighty".