2044800 has 144 divisors (see below), whose sum is σ = 7399080. Its totient is φ = 537600.

The previous prime is 2044789. The next prime is 2044831. The reversal of 2044800 is 84402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

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, 28765 + ... + 28835.

2^2044800 is an apocalyptic number.

2044800 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 2044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699540).

2044800 is an abundant number, since it is smaller than the sum of its proper divisors (5354280).

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

2044800 is a wasteful number, since it uses less digits than its factorization.

2044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2044800 is about 1429.9650345376. The cubic root of 2044800 is about 126.9259079682.

The spelling of 2044800 in words is "two million, forty-four thousand, eight hundred".