2566938 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 696960.

The previous prime is 2566931. The next prime is 2566939. The reversal of 2566938 is 8396652.

2566938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 2566896 and 2566905.

It is not an unprimeable number, because it can be changed into a prime (2566931) 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 31 ways as a sum of consecutive naturals, for example, 28798 + ... + 28886.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

2^2566938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2566938 is an abundant number, since it is smaller than the sum of its proper divisors (3653862).

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

2566938 is a wasteful number, since it uses less digits than its factorization.

2566938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147.

The product of its digits is 77760, while the sum is 39.

The square root of 2566938 is about 1602.1666579979. The cubic root of 2566938 is about 136.9215456469.

The spelling of 2566938 in words is "two million, five hundred sixty-six thousand, nine hundred thirty-eight".