2130613607808 has 512 divisors, whose sum is σ = 7871769216000. Its totient is φ = 553178529792.

The previous prime is 2130613607807. The next prime is 2130613607813. The reversal of 2130613607808 is 8087063160312.

2130613607808 is a `hidden beast` number, since 2 + 1 + 30 + 6 + 1 + 3 + 607 + 8 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130613607807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11837335 + ... + 12015977.

It is an arithmetic number, because the mean of its divisors is an integer number (15374549250).

Almost surely, 2^{2130613607808} is an apocalyptic number.

2130613607808 is a gapful number since it is divisible by the number (28) 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 2130613607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935884608000).

2130613607808 is an abundant number, since it is smaller than the sum of its proper divisors (5741155608192).

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

2130613607808 is a wasteful number, since it uses less digits than its factorization.

2130613607808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178719 (or 178701 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2130613607808 in words is "two trillion, one hundred thirty billion, six hundred thirteen million, six hundred seven thousand, eight hundred eight".