2413142440 has 64 divisors (see below), whose sum is σ = 5508518400. Its totient is φ = 951295488.

The previous prime is 2413142437. The next prime is 2413142441. The reversal of 2413142440 is 442413142.

2413142440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2413142441) 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, 1305597 + ... + 1307443.

It is an arithmetic number, because the mean of its divisors is an integer number (86070600).

Almost surely, 2^2413142440 is an apocalyptic number.

2413142440 is a gapful number since it is divisible by the number (20) 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 2413142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754259200).

2413142440 is an abundant number, since it is smaller than the sum of its proper divisors (3095375960).

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

2413142440 is a wasteful number, since it uses less digits than its factorization.

2413142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2413142440 is about 49123.7461926511. The cubic root of 2413142440 is about 1341.3053367642.

Adding to 2413142440 its reverse (442413142), we get a palindrome (2855555582).

The spelling of 2413142440 in words is "two billion, four hundred thirteen million, one hundred forty-two thousand, four hundred forty".