2642766 has 48 divisors (see below), whose sum is σ = 6279120. Its totient is φ = 739200.

The previous prime is 2642713. The next prime is 2642771. The reversal of 2642766 is 6672462.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26116 + ... + 26216.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

2^2642766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139560).

2642766 is an abundant number, since it is smaller than the sum of its proper divisors (3636354).

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

2642766 is a wasteful number, since it uses less digits than its factorization.

2642766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 2642766 is about 1625.6586357535. The cubic root of 2642766 is about 138.2567160119.

Multiplying 2642766 by its sum of digits (33), we get a palindrome (87211278).

The spelling of 2642766 in words is "two million, six hundred forty-two thousand, seven hundred sixty-six".