2342112 has 48 divisors (see below), whose sum is σ = 6354432. Its totient is φ = 754560.

The previous prime is 2342101. The next prime is 2342129. The reversal of 2342112 is 2112432.

2342112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2342091 and 2342100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2583 + ... + 3369.

It is an arithmetic number, because the mean of its divisors is an integer number (132384).

2^2342112 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 2342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177216).

2342112 is an abundant number, since it is smaller than the sum of its proper divisors (4012320).

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

2342112 is a wasteful number, since it uses less digits than its factorization.

2342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 2342112 is about 1530.3960271773. The cubic root of 2342112 is about 132.8013693186.

Adding to 2342112 its reverse (2112432), we get a palindrome (4454544).

It can be divided in two parts, 234 and 2112, that added together give a triangular number (2346 = T₆₈).

The spelling of 2342112 in words is "two million, three hundred forty-two thousand, one hundred twelve".