2038080 has 112 divisors (see below), whose sum is σ = 7095744. Its totient is φ = 491520.

The previous prime is 2038039. The next prime is 2038103. The reversal of 2038080 is 808302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10464 + ... + 10656.

2^2038080 is an apocalyptic number.

2038080 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 2038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547872).

2038080 is an abundant number, since it is smaller than the sum of its proper divisors (5057664).

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

2038080 is a wasteful number, since it uses less digits than its factorization.

2038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

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

The square root of 2038080 is about 1427.6133930445. The cubic root of 2038080 is about 126.7867129081.

The spelling of 2038080 in words is "two million, thirty-eight thousand, eighty".