2581344 has 36 divisors (see below), whose sum is σ = 7341516. Its totient is φ = 860352.

The previous prime is 2581289. The next prime is 2581349. The reversal of 2581344 is 4431852.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4194 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (203931).

2^2581344 is an apocalyptic number.

2581344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2581344 is an abundant number, since it is smaller than the sum of its proper divisors (4760172).

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

2581344 is a wasteful number, since it uses less digits than its factorization.

2581344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8968 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2581344 is about 1606.6561548757. The cubic root of 2581344 is about 137.1772086568.

The spelling of 2581344 in words is "two million, five hundred eighty-one thousand, three hundred forty-four".