2561776 has 40 divisors (see below), whose sum is σ = 5758560. Its totient is φ = 1081344.

The previous prime is 2561771. The next prime is 2561807. The reversal of 2561776 is 6771652.

2561776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561771) 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, 9840 + ... + 10096.

It is an arithmetic number, because the mean of its divisors is an integer number (143964).

2^2561776 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 2561776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879280).

2561776 is an abundant number, since it is smaller than the sum of its proper divisors (3196784).

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

2561776 is a wasteful number, since it uses less digits than its factorization.

2561776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 2561776 is about 1600.5549037756. The cubic root of 2561776 is about 136.8297029765.

The spelling of 2561776 in words is "two million, five hundred sixty-one thousand, seven hundred seventy-six".