2126800 has 60 divisors (see below), whose sum is σ = 5516140. Its totient is φ = 783360.

The previous prime is 2126791. The next prime is 2126801. The reversal of 2126800 is 86212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18496 + 2108304 = 136^2 + 1452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4996 + ... + 5404.

2^2126800 is an apocalyptic number.

2126800 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 2126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758070).

2126800 is an abundant number, since it is smaller than the sum of its proper divisors (3389340).

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

2126800 is a wasteful number, since it uses less digits than its factorization.

2126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2126800 is about 1458.3552379307. The cubic root of 2126800 is about 128.6003697342.

It can be divided in two parts, 2126 and 800, that added together give a triangular number (2926 = T₇₆).

The spelling of 2126800 in words is "two million, one hundred twenty-six thousand, eight hundred".