2112096 has 72 divisors (see below), whose sum is σ = 6463800. Its totient is φ = 602112.

The previous prime is 2112079. The next prime is 2112107. The reversal of 2112096 is 6902112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4480 + ... + 4928.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

2^2112096 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 2112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231900).

2112096 is an abundant number, since it is smaller than the sum of its proper divisors (4351704).

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

2112096 is a wasteful number, since it uses less digits than its factorization.

2112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2112096 is about 1453.3051985044. The cubic root of 2112096 is about 128.3033171306.

2112096 divided by its sum of digits (21) gives a triangular number (100576 = T₄₄₈).

It can be divided in two parts, 21 and 12096, that multiplied together give a square (254016 = 504²).

The spelling of 2112096 in words is "two million, one hundred twelve thousand, ninety-six".