2761080 has 128 divisors (see below), whose sum is σ = 10022400. Its totient is φ = 594432.

The previous prime is 2761039. The next prime is 2761091. The reversal of 2761080 is 801672.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2761080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15874 + ... + 16046.

It is an arithmetic number, because the mean of its divisors is an integer number (78300).

2^2761080 is an apocalyptic number.

2761080 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 2761080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011200).

2761080 is an abundant number, since it is smaller than the sum of its proper divisors (7261320).

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

2761080 is a wasteful number, since it uses less digits than its factorization.

2761080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2761080 is about 1661.6497825956. The cubic root of 2761080 is about 140.2898755773.

The spelling of 2761080 in words is "two million, seven hundred sixty-one thousand, eighty".