2124800 has 66 divisors (see below), whose sum is σ = 5330388. Its totient is φ = 839680.

The previous prime is 2124797. The next prime is 2124821. The reversal of 2124800 is 84212.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25559 + ... + 25641.

2^2124800 is an apocalyptic number.

2124800 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 2124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665194).

2124800 is an abundant number, since it is smaller than the sum of its proper divisors (3205588).

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

2124800 is an equidigital number, since it uses as much as digits as its factorization.

2124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2124800 is about 1457.6693726631. The cubic root of 2124800 is about 128.5600460235.

The spelling of 2124800 in words is "two million, one hundred twenty-four thousand, eight hundred".