2038800 has 60 divisors (see below), whose sum is σ = 6534800. Its totient is φ = 543360.

The previous prime is 2038783. The next prime is 2038801. The reversal of 2038800 is 88302.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (2038801) 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, 351 + ... + 2049.

2^2038800 is an apocalyptic number.

2038800 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 2038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267400).

2038800 is an abundant number, since it is smaller than the sum of its proper divisors (4496000).

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

2038800 is a wasteful number, since it uses less digits than its factorization.

2038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2038800 is about 1427.8655398881. The cubic root of 2038800 is about 126.8016412861.

Adding to 2038800 its product of nonzero digits (384), we get a square (2039184 = 1428²).

The spelling of 2038800 in words is "two million, thirty-eight thousand, eight hundred".