2768580 has 60 divisors (see below), whose sum is σ = 8690220. Its totient is φ = 737856.

The previous prime is 2768573. The next prime is 2768587. The reversal of 2768580 is 858672.

2768580 is a `hidden beast` number, since 2 + 76 + 8 + 580 = 666.

2768580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2768573) and next prime (2768587).

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 2022084 = 864^2 + 1422^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2768587) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 766 + ... + 2474.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

2^2768580 is an apocalyptic number.

2768580 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 2768580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345110).

2768580 is an abundant number, since it is smaller than the sum of its proper divisors (5921640).

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

2768580 is a wasteful number, since it uses less digits than its factorization.

2768580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2768580 is about 1663.9050453677. The cubic root of 2768580 is about 140.4167851946.

The spelling of 2768580 in words is "two million, seven hundred sixty-eight thousand, five hundred eighty".