2766580 has 48 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 1018368.

The previous prime is 2766551. The next prime is 2766581. The reversal of 2766580 is 856672.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26809 + ... + 26911.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

2^2766580 is an apocalyptic number.

2766580 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 2766580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2766580 is an abundant number, since it is smaller than the sum of its proper divisors (3523340).

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

2766580 is a wasteful number, since it uses less digits than its factorization.

2766580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2766580 is about 1663.3039409561. The cubic root of 2766580 is about 140.3829650628.

The spelling of 2766580 in words is "two million, seven hundred sixty-six thousand, five hundred eighty".