2112190272 has 168 divisors, whose sum is σ = 6260750496. Its totient is φ = 680408064.

The previous prime is 2112190247. The next prime is 2112190273. The reversal of 2112190272 is 2720912112.

It is a super-2 number, since 2×2112190272² = 8922695490262867968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112190273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2649778 + ... + 2650574.

It is an arithmetic number, because the mean of its divisors is an integer number (37266372).

Almost surely, 2^2112190272 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 2112190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130375248).

2112190272 is an abundant number, since it is smaller than the sum of its proper divisors (4148560224).

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

2112190272 is a wasteful number, since it uses less digits than its factorization.

2112190272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2112190272 is about 45958.5712571659. The cubic root of 2112190272 is about 1283.0522601325.

The spelling of 2112190272 in words is "two billion, one hundred twelve million, one hundred ninety thousand, two hundred seventy-two".