2413224 has 72 divisors (see below), whose sum is σ = 7209930. Its totient is φ = 728640.

The previous prime is 2413223. The next prime is 2413231. The reversal of 2413224 is 4223142.

2413224 = 18² + 19² + ... + 193².

It can be written as a sum of positive squares in only one way, i.e., 2304324 + 108900 = 1518^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2413197 and 2413206.

It is not an unprimeable number, because it can be changed into a prime (2413223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8574 + ... + 8850.

2^2413224 is an apocalyptic number.

2413224 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 2413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604965).

2413224 is an abundant number, since it is smaller than the sum of its proper divisors (4796706).

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

2413224 is a wasteful number, since it uses less digits than its factorization.

2413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2413224 is about 1553.4555030641. The cubic root of 2413224 is about 134.1320447853.

Adding to 2413224 its reverse (4223142), we get a palindrome (6636366).

The spelling of 2413224 in words is "two million, four hundred thirteen thousand, two hundred twenty-four".