2112642 has 72 divisors (see below), whose sum is σ = 5668416. Its totient is φ = 577368.

The previous prime is 2112631. The next prime is 2112683. The reversal of 2112642 is 2462112.

2112642 is a `hidden beast` number, since 21 + 1 + 2 + 642 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 91843 + ... + 91865.

It is an arithmetic number, because the mean of its divisors is an integer number (78728).

2^2112642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834208).

2112642 is an abundant number, since it is smaller than the sum of its proper divisors (3555774).

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

2112642 is an frugal number, since it uses more digits than its factorization.

2112642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

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

The square root of 2112642 is about 1453.4930340390. The cubic root of 2112642 is about 128.3143721166.

Adding to 2112642 its reverse (2462112), we get a palindrome (4574754).

The spelling of 2112642 in words is "two million, one hundred twelve thousand, six hundred forty-two".