2038417920 has 640 divisors, whose sum is σ = 9050849280. Its totient is φ = 422461440.

The previous prime is 2038417891. The next prime is 2038417933. The reversal of 2038417920 is 297148302.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322049 + ... + 5322431.

It is an arithmetic number, because the mean of its divisors is an integer number (14141952).

Almost surely, 2^2038417920 is an apocalyptic number.

2038417920 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 2038417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525424640).

2038417920 is an abundant number, since it is smaller than the sum of its proper divisors (7012431360).

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

2038417920 is a wasteful number, since it uses less digits than its factorization.

2038417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2038417920 is about 45148.8418456111. The cubic root of 2038417920 is about 1267.9371973128.

The spelling of 2038417920 in words is "two billion, thirty-eight million, four hundred seventeen thousand, nine hundred twenty".