2112792 has 64 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 624000.

The previous prime is 2112779. The next prime is 2112793. The reversal of 2112792 is 2972112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13917 + ... + 14067.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

2^2112792 is an apocalyptic number.

2112792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954880).

2112792 is an abundant number, since it is smaller than the sum of its proper divisors (3796968).

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

2112792 is a wasteful number, since it uses less digits than its factorization.

2112792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 2112792 is about 1453.5446329577. The cubic root of 2112792 is about 128.3174088672.

It can be divided in two parts, 211 and 2792, that added together give a palindrome (3003).

The spelling of 2112792 in words is "two million, one hundred twelve thousand, seven hundred ninety-two".