2561968 has 20 divisors (see below), whose sum is σ = 5256360. Its totient is φ = 1205504.

The previous prime is 2561963. The next prime is 2561969. The reversal of 2561968 is 8691652.

2561968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2561963) 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 3 ways as a sum of consecutive naturals, for example, 4438 + ... + 4981.

It is an arithmetic number, because the mean of its divisors is an integer number (262818).

2^2561968 is an apocalyptic number.

It is an amenable number.

2561968 is an abundant number, since it is smaller than the sum of its proper divisors (2694392).

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

2561968 is a wasteful number, since it uses less digits than its factorization.

2561968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9438 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 2561968 is about 1600.6148818501. The cubic root of 2561968 is about 136.8331212622.

The spelling of 2561968 in words is "two million, five hundred sixty-one thousand, nine hundred sixty-eight".