2112645627 has 48 divisors (see below), whose sum is σ = 3165907680. Its totient is φ = 1356988416.

The previous prime is 2112645617. The next prime is 2112645631. The reversal of 2112645627 is 7265462112.

It is a happy number.

2112645627 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 645 + 6 + 2 + 7 = 666.

It is not a de Polignac number, because 2112645627 - 2¹⁶ = 2112580091 is a prime.

It is a super-3 number, since 3×2112645627³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112645591 and 2112645600.

It is not an unprimeable number, because it can be changed into a prime (2112645617) 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, 8220283 + ... + 8220539.

It is an arithmetic number, because the mean of its divisors is an integer number (65956410).

Almost surely, 2^2112645627 is an apocalyptic number.

2112645627 is a deficient number, since it is larger than the sum of its proper divisors (1053262053).

2112645627 is a wasteful number, since it uses less digits than its factorization.

2112645627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 569 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2112645627 is about 45963.5249627354. The cubic root of 2112645627 is about 1283.1444554696.

The spelling of 2112645627 in words is "two billion, one hundred twelve million, six hundred forty-five thousand, six hundred twenty-seven".