2413008 has 60 divisors (see below), whose sum is σ = 7278180. Its totient is φ = 741888.

The previous prime is 2413007. The next prime is 2413043. The reversal of 2413008 is 8003142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 1272384 = 1068^2 + 1128^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413001) 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, 1228 + ... + 2516.

It is an arithmetic number, because the mean of its divisors is an integer number (121303).

2^2413008 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 2413008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639090).

2413008 is an abundant number, since it is smaller than the sum of its proper divisors (4865172).

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

2413008 is a wasteful number, since it uses less digits than its factorization.

2413008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2413008 is about 1553.3859790792. The cubic root of 2413008 is about 134.1280427551.

It can be divided in two parts, 241 and 3008, that added together give a square (3249 = 57²).

The spelling of 2413008 in words is "two million, four hundred thirteen thousand, eight".