2561744 has 20 divisors (see below), whose sum is σ = 5135460. Its totient is φ = 1236480.

The previous prime is 2561743. The next prime is 2561749. The reversal of 2561744 is 4471652.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 1537600 = 1012^2 + 1240^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2297 + ... + 3224.

It is an arithmetic number, because the mean of its divisors is an integer number (256773).

2^2561744 is an apocalyptic number.

It is an amenable number.

2561744 is an abundant number, since it is smaller than the sum of its proper divisors (2573716).

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

2561744 is a wasteful number, since it uses less digits than its factorization.

2561744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5552 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 2561744 is about 1600.5449072113. The cubic root of 2561744 is about 136.8291332456.

The spelling of 2561744 in words is "two million, five hundred sixty-one thousand, seven hundred forty-four".