2766564 has 72 divisors (see below), whose sum is σ = 7524608. Its totient is φ = 855360.

The previous prime is 2766551. The next prime is 2766581. The reversal of 2766564 is 4656672.

2766564 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).

Its product of digits (60480) is a multiple of the sum of its prime divisors (140).

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 23 ways as a sum of consecutive naturals, for example, 41259 + ... + 41325.

2^2766564 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 2766564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762304).

2766564 is an abundant number, since it is smaller than the sum of its proper divisors (4758044).

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

2766564 is a wasteful number, since it uses less digits than its factorization.

2766564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

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

The square root of 2766564 is about 1663.2991312449. The cubic root of 2766564 is about 140.3826944360.

The spelling of 2766564 in words is "two million, seven hundred sixty-six thousand, five hundred sixty-four".