2602112 has 32 divisors (see below), whose sum is σ = 5370300. Its totient is φ = 1254400.

The previous prime is 2602111. The next prime is 2602121. The reversal of 2602112 is 2112062.

It can be written as a sum of positive squares in 2 ways, for example, as 2483776 + 118336 = 1576^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2602111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3362 + ... + 4062.

2^2602112 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 2602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685150).

2602112 is an abundant number, since it is smaller than the sum of its proper divisors (2768188).

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

2602112 is an equidigital number, since it uses as much as digits as its factorization.

2602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2602112 is about 1613.1063201166. The cubic root of 2602112 is about 137.5441092644.

Adding to 2602112 its reverse (2112062), we get a palindrome (4714174).

The spelling of 2602112 in words is "two million, six hundred two thousand, one hundred twelve".