2766528 has 56 divisors (see below), whose sum is σ = 8138160. Its totient is φ = 921600.

The previous prime is 2766521. The next prime is 2766539. The reversal of 2766528 is 8256672.

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

It is a d-powerful number, because it can be written as 2¹² + 7⁵ + 6⁴ + 6⁸ + 5⁶ + 2²⁰ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 2766492 and 2766501.

It is not an unprimeable number, because it can be changed into a prime (2766521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928 + ... + 2528.

2^2766528 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 2766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069080).

2766528 is an abundant number, since it is smaller than the sum of its proper divisors (5371632).

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

2766528 is a wasteful number, since it uses less digits than its factorization.

2766528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1606 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2766528 is about 1663.2883093439. The cubic root of 2766528 is about 140.3820855220.

The spelling of 2766528 in words is "two million, seven hundred sixty-six thousand, five hundred twenty-eight".