2013540410304 has 392 divisors, whose sum is σ = 6056335034880. Its totient is φ = 663868224000.

The previous prime is 2013540410269. The next prime is 2013540410317. The reversal of 2013540410304 is 4030140453102.

It is a happy number.

2013540410304 is a `hidden beast` number, since 2 + 0 + 1 + 354 + 0 + 4 + 1 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2191011957 + ... + 2191012875.

Almost surely, 2^{2013540410304} is an apocalyptic number.

2013540410304 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 2013540410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028167517440).

2013540410304 is an abundant number, since it is smaller than the sum of its proper divisors (4042794624576).

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

2013540410304 is an equidigital number, since it uses as much as digits as its factorization.

2013540410304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2013540410304 its reverse (4030140453102), we get a palindrome (6043680863406).

The spelling of 2013540410304 in words is "two trillion, thirteen billion, five hundred forty million, four hundred ten thousand, three hundred four".