2106112624272 has 240 divisors, whose sum is σ = 6237910748160. Its totient is φ = 662269132800.

The previous prime is 2106112624271. The next prime is 2106112624331. The reversal of 2106112624272 is 2724262116012.

2106112624272 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 1 + 1 + 2 + 624 + 27 + 2 = 666.

It is a super-2 number, since 2×2106112624272² (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 not an unprimeable number, because it can be changed into a prime (2106112624271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257876733 + ... + 257884899.

It is an arithmetic number, because the mean of its divisors is an integer number (25991294784).

Almost surely, 2^{2106112624272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106112624272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118955374080).

2106112624272 is an abundant number, since it is smaller than the sum of its proper divisors (4131798123888).

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

2106112624272 is a wasteful number, since it uses less digits than its factorization.

2106112624272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2106112624272 in words is "two trillion, one hundred six billion, one hundred twelve million, six hundred twenty-four thousand, two hundred seventy-two".