2676564 has 60 divisors (see below), whose sum is σ = 7643328. Its totient is φ = 810000.

The previous prime is 2676563. The next prime is 2676577. The reversal of 2676564 is 4656762.

2676564 is a `hidden beast` number, since 26 + 76 + 564 = 666.

2676564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2676563) 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, 3189 + ... + 3939.

2^2676564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821664).

2676564 is an abundant number, since it is smaller than the sum of its proper divisors (4966764).

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

2676564 is a wasteful number, since it uses less digits than its factorization.

2676564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2676564 is about 1636.0207822641. The cubic root of 2676564 is about 138.8436037488.

It can be divided in two parts, 2676 and 564, that added together give a triangular number (3240 = T₈₀).

The spelling of 2676564 in words is "two million, six hundred seventy-six thousand, five hundred sixty-four".