2112500 has 54 divisors (see below), whose sum is σ = 5003586. Its totient is φ = 780000.

The previous prime is 2112499. The next prime is 2112511. The reversal of 2112500 is 52112.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2112500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 1860496 + 252004 = 1364^2 + 502^2 .

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 162494 + ... + 162506.

It is an arithmetic number, because the mean of its divisors is an integer number (92659).

2^2112500 is an apocalyptic number.

2112500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501793).

2112500 is an abundant number, since it is smaller than the sum of its proper divisors (2891086).

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

2112500 is an equidigital number, since it uses as much as digits as its factorization.

2112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2112500 is about 1453.4441853749. Note that the first 3 decimals coincide. The cubic root of 2112500 is about 128.3114971937.

Multiplying 2112500 by its product of nonzero digits (20), we get a square (42250000 = 6500²).

2112500 divided by its product of nonzero digits (20) gives a square (105625 = 325²).

Adding to 2112500 its reverse (52112), we get a palindrome (2164612).

It can be divided in two parts, 21 and 12500, that added together give a palindrome (12521).

The spelling of 2112500 in words is "two million, one hundred twelve thousand, five hundred".