2168900 has 54 divisors (see below), whose sum is σ = 5040042. Its totient is φ = 809600.

The previous prime is 2168893. The next prime is 2168917. The reversal of 2168900 is 98612.

It can be written as a sum of positive squares in 3 ways, for example, as 2116 + 2166784 = 46^2 + 1472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2168900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52880 + ... + 52920.

2^2168900 is an apocalyptic number.

2168900 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 2168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520021).

2168900 is an abundant number, since it is smaller than the sum of its proper divisors (2871142).

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

2168900 is a wasteful number, since it uses less digits than its factorization.

2168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2168900 is about 1472.7185746096. The cubic root of 2168900 is about 129.4433794904.

It can be divided in two parts, 21 and 68900, that added together give a cube (68921 = 41³).

The spelling of 2168900 in words is "two million, one hundred sixty-eight thousand, nine hundred".