2677164 has 72 divisors (see below), whose sum is σ = 7565040. Its totient is φ = 733824.

The previous prime is 2677159. The next prime is 2677183. The reversal of 2677164 is 4617762.

2677164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16974 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (105070).

2^2677164 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 2677164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782520).

2677164 is an abundant number, since it is smaller than the sum of its proper divisors (4887876).

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

2677164 is a wasteful number, since it uses less digits than its factorization.

2677164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 2677164 is about 1636.2041437425. The cubic root of 2677164 is about 138.8539777381.

The spelling of 2677164 in words is "two million, six hundred seventy-seven thousand, one hundred sixty-four".