2771320 has 32 divisors (see below), whose sum is σ = 6321600. Its totient is φ = 1093248.

The previous prime is 2771309. The next prime is 2771333. The reversal of 2771320 is 231772.

It is a junction number, because it is equal to n+sod(n) for n = 2771291 and 2771300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2722 + ... + 3598.

It is an arithmetic number, because the mean of its divisors is an integer number (197550).

2^2771320 is an apocalyptic number.

2771320 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 2771320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160800).

2771320 is an abundant number, since it is smaller than the sum of its proper divisors (3550280).

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

2771320 is a wasteful number, since it uses less digits than its factorization.

2771320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 2771320 is about 1664.7282060445. The cubic root of 2771320 is about 140.4630923434.

The spelling of 2771320 in words is "two million, seven hundred seventy-one thousand, three hundred twenty".