2505344 has 48 divisors (see below), whose sum is σ = 5358570. Its totient is φ = 1165824.

The previous prime is 2505343. The next prime is 2505353. The reversal of 2505344 is 4435052.

It can be written as a sum of positive squares in only one way, i.e., 1658944 + 846400 = 1288^2 + 920^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2505343) 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, 67694 + ... + 67730.

2^2505344 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 2505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679285).

2505344 is an abundant number, since it is smaller than the sum of its proper divisors (2853226).

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

2505344 is an equidigital number, since it uses as much as digits as its factorization.

2505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2505344 is about 1582.8278491358. The cubic root of 2505344 is about 135.8175176571.

The spelling of 2505344 in words is "two million, five hundred five thousand, three hundred forty-four".