2038680 has 96 divisors (see below), whose sum is σ = 7581600. Its totient is φ = 465408.

The previous prime is 2038661. The next prime is 2038693. The reversal of 2038680 is 868302.

It is a super-2 number, since 2×2038680² = 8312432284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

2^2038680 is an apocalyptic number.

2038680 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 2038680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790800).

2038680 is an abundant number, since it is smaller than the sum of its proper divisors (5542920).

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

2038680 is a wasteful number, since it uses less digits than its factorization.

2038680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2038680 is about 1427.8235185064. The cubic root of 2038680 is about 126.7991534672.

The spelling of 2038680 in words is "two million, thirty-eight thousand, six hundred eighty".