2561768 has 32 divisors (see below), whose sum is σ = 5369760. Its totient is φ = 1135680.

The previous prime is 2561761. The next prime is 2561771. The reversal of 2561768 is 8671652.

2561768 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 (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2561761) 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 7 ways as a sum of consecutive naturals, for example, 3446 + ... + 4122.

It is an arithmetic number, because the mean of its divisors is an integer number (167805).

2^2561768 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 2561768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684880).

2561768 is an abundant number, since it is smaller than the sum of its proper divisors (2807992).

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

2561768 is a wasteful number, since it uses less digits than its factorization.

2561768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 2561768 is about 1600.5524046403. The cubic root of 2561768 is about 136.8295605442.

The spelling of 2561768 in words is "two million, five hundred sixty-one thousand, seven hundred sixty-eight".