2413340160 has 720 divisors, whose sum is σ = 10050950448. Its totient is φ = 492011520.

The previous prime is 2413340117. The next prime is 2413340177. The reversal of 2413340160 is 610433142.

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 2413340160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45534694 + ... + 45534746.

Almost surely, 2^2413340160 is an apocalyptic number.

2413340160 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 2413340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025475224).

2413340160 is an abundant number, since it is smaller than the sum of its proper divisors (7637610288).

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

2413340160 is a wasteful number, since it uses less digits than its factorization.

2413340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2413340160 is about 49125.7586200966. The cubic root of 2413340160 is about 1341.3419688950.

The spelling of 2413340160 in words is "two billion, four hundred thirteen million, three hundred forty thousand, one hundred sixty".