2038400 has 144 divisors (see below), whose sum is σ = 6308190. Its totient is φ = 645120.

The previous prime is 2038373. The next prime is 2038403. The reversal of 2038400 is 48302.

It can be written as a sum of positive squares in 3 ways, for example, as 1132096 + 906304 = 1064^2 + 952^2 .

It is not an unprimeable number, because it can be changed into a prime (2038403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156794 + ... + 156806.

2^2038400 is an apocalyptic number.

2038400 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 2038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154095).

2038400 is an abundant number, since it is smaller than the sum of its proper divisors (4269790).

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

2038400 is a wasteful number, since it uses less digits than its factorization.

2038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2038400 is about 1427.7254638060. The cubic root of 2038400 is about 126.7933481768.

The spelling of 2038400 in words is "two million, thirty-eight thousand, four hundred".