2038720 has 56 divisors (see below), whose sum is σ = 5084064. Its totient is φ = 777216.

The previous prime is 2038717. The next prime is 2038721. The reversal of 2038720 is 278302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2038691 and 2038700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038721) 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 7 ways as a sum of consecutive naturals, for example, 7222 + ... + 7498.

2^2038720 is an apocalyptic number.

2038720 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 2038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542032).

2038720 is an abundant number, since it is smaller than the sum of its proper divisors (3045344).

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

2038720 is a wasteful number, since it uses less digits than its factorization.

2038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2038720 is about 1427.8375257711. The cubic root of 2038720 is about 126.7999827510.

It can be divided in two parts, 20 and 38720, that multiplied together give a square (774400 = 880²).

The spelling of 2038720 in words is "two million, thirty-eight thousand, seven hundred twenty".