2048200 has 144 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 604800.

The previous prime is 2048171. The next prime is 2048203. The reversal of 2048200 is 28402.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2048203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107791 + ... + 107809.

It is an arithmetic number, because the mean of its divisors is an integer number (44175).

2^2048200 is an apocalyptic number.

2048200 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 2048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2048200 is an abundant number, since it is smaller than the sum of its proper divisors (4313000).

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

2048200 is a wasteful number, since it uses less digits than its factorization.

2048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2048200 is about 1431.1533810183. The cubic root of 2048200 is about 126.9962178798.

It can be divided in two parts, 2048 and 200, that multiplied together give a square (409600 = 640²).

The spelling of 2048200 in words is "two million, forty-eight thousand, two hundred".