2413411440 has 160 divisors (see below), whose sum is σ = 8181119232. Its totient is φ = 583680000.

The previous prime is 2413411433. The next prime is 2413411471. The reversal of 2413411440 is 441143142.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2413411440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1506640 + ... + 1508240.

Almost surely, 2^2413411440 is an apocalyptic number.

2413411440 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 2413411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090559616).

2413411440 is an abundant number, since it is smaller than the sum of its proper divisors (5767707792).

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

2413411440 is a wasteful number, since it uses less digits than its factorization.

2413411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2413411440 is about 49126.4840997196. The cubic root of 2413411440 is about 1341.3551746469.

Adding to 2413411440 its reverse (441143142), we get a palindrome (2854554582).

The spelling of 2413411440 in words is "two billion, four hundred thirteen million, four hundred eleven thousand, four hundred forty".