2678564 has 24 divisors (see below), whose sum is σ = 5392128. Its totient is φ = 1140480.

The previous prime is 2678551. The next prime is 2678587. The reversal of 2678564 is 4658762.

It is a happy number.

2678564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2²¹ + 6⁷ + 7⁵ + 8³ + 5³ + 6⁷ + 4⁶ .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7412 + ... + 7764.

It is an arithmetic number, because the mean of its divisors is an integer number (224672).

2^2678564 is an apocalyptic number.

It is an amenable number.

2678564 is an abundant number, since it is smaller than the sum of its proper divisors (2713564).

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

2678564 is a wasteful number, since it uses less digits than its factorization.

2678564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 2678564 is about 1636.6319073023. The cubic root of 2678564 is about 138.8781776866.

It can be divided in two parts, 2 and 678564, that multiplied together give a triangular number (1357128 = T₁₆₄₇).

The spelling of 2678564 in words is "two million, six hundred seventy-eight thousand, five hundred sixty-four".