2413611306560 has 112 divisors (see below), whose sum is σ = 6105321661824. Its totient is φ = 905693257728.

The previous prime is 2413611306553. The next prime is 2413611306583. The reversal of 2413611306560 is 656031163142.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947477 + ... + 2392683.

It is an arithmetic number, because the mean of its divisors is an integer number (54511800552).

Almost surely, 2^{2413611306560} is an apocalyptic number.

2413611306560 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 2413611306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052660830912).

2413611306560 is an abundant number, since it is smaller than the sum of its proper divisors (3691710355264).

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

2413611306560 is a wasteful number, since it uses less digits than its factorization.

2413611306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445548 (or 1445538 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 2413611306560 in words is "two trillion, four hundred thirteen billion, six hundred eleven million, three hundred six thousand, five hundred sixty".