2611456 has 27 divisors (see below), whose sum is σ = 5264833. Its totient is φ = 1292800.

The previous prime is 2611439. The next prime is 2611457. The reversal of 2611456 is 6541162.

The square root of 2611456 is 1616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 102400 = 1584^2 + 320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2611456.

It is not an unprimeable number, because it can be changed into a prime (2611457) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25806 + ... + 25906.

2^2611456 is an apocalyptic number.

2611456 is the 1616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611456

2611456 is an abundant number, since it is smaller than the sum of its proper divisors (2653377).

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

2611456 is an frugal number, since it uses more digits than its factorization.

2611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 103 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The cubic root of 2611456 is about 137.7085496434.

Multiplying 2611456 by its sum of digits (25), we get a square (65286400 = 8080²).

The spelling of 2611456 in words is "two million, six hundred eleven thousand, four hundred fifty-six".