2013344 has 24 divisors (see below), whose sum is σ = 4198068. Its totient is φ = 947200.

The previous prime is 2013343. The next prime is 2013359. The reversal of 2013344 is 4433102.

2013344 = T₃₂₇ + T₃₂₈ + ... + T₃₆₀.

It can be written as a sum of positive squares in 2 ways, for example, as 1993744 + 19600 = 1412^2 + 140^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2013343) 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, 1307 + ... + 2394.

2^2013344 is an apocalyptic number.

It is an amenable number.

2013344 is an abundant number, since it is smaller than the sum of its proper divisors (2184724).

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

2013344 is a wasteful number, since it uses less digits than its factorization.

2013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2013344 is about 1418.9235356424. The cubic root of 2013344 is about 126.2716905516.

Adding to 2013344 its reverse (4433102), we get a palindrome (6446446).

The spelling of 2013344 in words is "two million, thirteen thousand, three hundred forty-four".