2563344 has 60 divisors (see below), whose sum is σ = 8201856. Its totient is φ = 732096.

The previous prime is 2563343. The next prime is 2563357. The reversal of 2563344 is 4433652.

2563344 is a `hidden beast` number, since 25 + 633 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2563343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264 + ... + 2279.

2^2563344 is an apocalyptic number.

2563344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100928).

2563344 is an abundant number, since it is smaller than the sum of its proper divisors (5638512).

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

2563344 is a wasteful number, since it uses less digits than its factorization.

2563344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2555 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 2563344 is about 1601.0446589649. The cubic root of 2563344 is about 136.8576139799.

Adding to 2563344 its reverse (4433652), we get a palindrome (6996996).

It can be divided in two parts, 256 and 3344, that added together give a square (3600 = 60²).

The spelling of 2563344 in words is "two million, five hundred sixty-three thousand, three hundred forty-four".