2426112 has 126 divisors (see below), whose sum is σ = 7819322. Its totient is φ = 746496.

The previous prime is 2426107. The next prime is 2426113. The reversal of 2426112 is 2116242.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 746496 = 1296^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186618 + ... + 186630.

2^2426112 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 2426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909661).

2426112 is an abundant number, since it is smaller than the sum of its proper divisors (5393210).

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

2426112 is an frugal number, since it uses more digits than its factorization.

2426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 18 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2426112 is about 1557.5981510004. The cubic root of 2426112 is about 134.3704016454.

The spelling of 2426112 in words is "two million, four hundred twenty-six thousand, one hundred twelve".