2038120 has 64 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 672000.

The previous prime is 2038117. The next prime is 2038123. The reversal of 2038120 is 218302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2038117) and next prime (2038123).

It is a junction number, because it is equal to n+sod(n) for n = 2038094 and 2038103.

It is not an unprimeable number, because it can be changed into a prime (2038123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7995 + ... + 8245.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

2^2038120 is an apocalyptic number.

2038120 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 2038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2038120 is an abundant number, since it is smaller than the sum of its proper divisors (3405080).

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

2038120 is a wasteful number, since it uses less digits than its factorization.

2038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2038120 is about 1427.6274023708. The cubic root of 2038120 is about 126.7875423547.

The spelling of 2038120 in words is "two million, thirty-eight thousand, one hundred twenty".