2678580 has 72 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 682176.

The previous prime is 2678551. The next prime is 2678587. The reversal of 2678580 is 858762.

2678580 is a `hidden beast` number, since 2 + 6 + 78 + 580 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3817 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

2^2678580 is an apocalyptic number.

2678580 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 2678580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

2678580 is an abundant number, since it is smaller than the sum of its proper divisors (5812812).

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

2678580 is a wasteful number, since it uses less digits than its factorization.

2678580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 680 counting only the distinct ones).

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

The square root of 2678580 is about 1636.6367953825. The cubic root of 2678580 is about 138.8784542087.

It can be divided in two parts, 26 and 78580, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 2678580 in words is "two million, six hundred seventy-eight thousand, five hundred eighty".