2777166 has 80 divisors (see below), whose sum is σ = 7434240. Its totient is φ = 758160.

The previous prime is 2777161. The next prime is 2777213. The reversal of 2777166 is 6617772.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2777166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35115 + ... + 35193.

It is an arithmetic number, because the mean of its divisors is an integer number (92928).

2^2777166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2777166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717120).

2777166 is an abundant number, since it is smaller than the sum of its proper divisors (4657074).

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

2777166 is a wasteful number, since it uses less digits than its factorization.

2777166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 2777166 is about 1666.4831232269. The cubic root of 2777166 is about 140.5617902587.

Subtracting 2777166 from its reverse (6617772), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 2777166 in words is "two million, seven hundred seventy-seven thousand, one hundred sixty-six".