2413240224 has 96 divisors (see below), whose sum is σ = 6623576064. Its totient is φ = 767880960.

The previous prime is 2413240223. The next prime is 2413240261. The reversal of 2413240224 is 4220423142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2413240194 and 2413240203.

It is not an unprimeable number, because it can be changed into a prime (2413240223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639809 + ... + 1641279.

It is an arithmetic number, because the mean of its divisors is an integer number (68995584).

Almost surely, 2^2413240224 is an apocalyptic number.

2413240224 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 2413240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311788032).

2413240224 is an abundant number, since it is smaller than the sum of its proper divisors (4210335840).

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

2413240224 is a wasteful number, since it uses less digits than its factorization.

2413240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2413240224 is about 49124.7414649685. The cubic root of 2413240224 is about 1341.3234537262.

Adding to 2413240224 its reverse (4220423142), we get a palindrome (6633663366).

The spelling of 2413240224 in words is "two billion, four hundred thirteen million, two hundred forty thousand, two hundred twenty-four".