2038920 has 64 divisors (see below), whose sum is σ = 6592320. Its totient is φ = 501504.

The previous prime is 2038919. The next prime is 2038921. The reversal of 2038920 is 298302.

It is an interprime number because it is at equal distance from previous prime (2038919) and next prime (2038921).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2038921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907 + ... + 2213.

It is an arithmetic number, because the mean of its divisors is an integer number (103005).

2^2038920 is an apocalyptic number.

2038920 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 2038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296160).

2038920 is an abundant number, since it is smaller than the sum of its proper divisors (4553400).

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

2038920 is a wasteful number, since it uses less digits than its factorization.

2038920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2038920 is about 1427.9075600332. The cubic root of 2038920 is about 126.8041290074.

The spelling of 2038920 in words is "two million, thirty-eight thousand, nine hundred twenty".