2130556106052 has 72 divisors (see below), whose sum is σ = 5875556319360. Its totient is φ = 645580595520.

The previous prime is 2130556106027. The next prime is 2130556106087. The reversal of 2130556106052 is 2506016550312.

2130556106052 is a `hidden beast` number, since 2 + 1 + 30 + 5 + 5 + 6 + 10 + 605 + 2 = 666.

It is a super-2 number, since 2×2130556106052² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2130556105998 and 2130556106016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6134938 + ... + 6472910.

It is an arithmetic number, because the mean of its divisors is an integer number (81604948880).

Almost surely, 2^{2130556106052} is an apocalyptic number.

2130556106052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2130556106052 is an abundant number, since it is smaller than the sum of its proper divisors (3745000213308).

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

2130556106052 is a wasteful number, since it uses less digits than its factorization.

2130556106052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353913 (or 353908 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2130556106052 in words is "two trillion, one hundred thirty billion, five hundred fifty-six million, one hundred six thousand, fifty-two".