2048800 has 72 divisors (see below), whose sum is σ = 5413716. Its totient is φ = 752640.

The previous prime is 2048797. The next prime is 2048819. The reversal of 2048800 is 88402.

It can be written as a sum of positive squares in 6 ways, for example, as 992016 + 1056784 = 996^2 + 1028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10302 + ... + 10498.

2^2048800 is an apocalyptic number.

2048800 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 2048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706858).

2048800 is an abundant number, since it is smaller than the sum of its proper divisors (3364916).

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

2048800 is a wasteful number, since it uses less digits than its factorization.

2048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2048800 is about 1431.3629868066. The cubic root of 2048800 is about 127.0086174325.

It can be divided in two parts, 2048 and 800, that multiplied together give a square (1638400 = 1280²).

The spelling of 2048800 in words is "two million, forty-eight thousand, eight hundred".