2771080 has 48 divisors (see below), whose sum is σ = 6807780. Its totient is φ = 1009152.

The previous prime is 2771057. The next prime is 2771081. The reversal of 2771080 is 801772.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 850084 + 1920996 = 922^2 + 1386^2 .

It is not an unprimeable number, because it can be changed into a prime (2771081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37924 + ... + 37996.

2^2771080 is an apocalyptic number.

2771080 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 2771080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403890).

2771080 is an abundant number, since it is smaller than the sum of its proper divisors (4036700).

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

2771080 is a wasteful number, since it uses less digits than its factorization.

2771080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 2771080 is about 1664.6561206447. The cubic root of 2771080 is about 140.4590374627.

The spelling of 2771080 in words is "two million, seven hundred seventy-one thousand, eighty".