2112174792 has 640 divisors, whose sum is σ = 8049888000. Its totient is φ = 512096256.

The previous prime is 2112174781. The next prime is 2112174793. The reversal of 2112174792 is 2974712112.

It is a super-2 number, since 2×2112174792² = 8922564703920486528, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (14112) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (2112174793) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49120323 + ... + 49120365.

It is an arithmetic number, because the mean of its divisors is an integer number (12577950).

Almost surely, 2^2112174792 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 2112174792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024944000).

2112174792 is an abundant number, since it is smaller than the sum of its proper divisors (5937713208).

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

2112174792 is a wasteful number, since it uses less digits than its factorization.

2112174792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2112174792 is about 45958.4028443113. The cubic root of 2112174792 is about 1283.0491256773.

The spelling of 2112174792 in words is "two billion, one hundred twelve million, one hundred seventy-four thousand, seven hundred ninety-two".