2771920 has 20 divisors (see below), whose sum is σ = 6444900. Its totient is φ = 1108736.

The previous prime is 2771893. The next prime is 2771933. The reversal of 2771920 is 291772.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 732736 + 2039184 = 856^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17245 + ... + 17404.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

2^2771920 is an apocalyptic number.

2771920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2771920 is an abundant number, since it is smaller than the sum of its proper divisors (3672980).

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

2771920 is a wasteful number, since it uses less digits than its factorization.

2771920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34662 (or 34656 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 2771920 is about 1664.9084058890. The cubic root of 2771920 is about 140.4732285208.

It can be divided in two parts, 277 and 1920, that added together give a cube (2197 = 13³).

The spelling of 2771920 in words is "two million, seven hundred seventy-one thousand, nine hundred twenty".