2566144 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 1093632.

The previous prime is 2566141. The next prime is 2566163. The reversal of 2566144 is 4416652.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2566141) 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, 14247 + ... + 14425.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

2^2566144 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 2566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2566144 is an abundant number, since it is smaller than the sum of its proper divisors (3330656).

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

2566144 is an equidigital number, since it uses as much as digits as its factorization.

2566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 2566144 is about 1601.9188493803. The cubic root of 2566144 is about 136.9074267605.

It can be divided in two parts, 256 and 6144, that added together give a square (6400 = 80²).

The spelling of 2566144 in words is "two million, five hundred sixty-six thousand, one hundred forty-four".