2038817088 has 504 divisors, whose sum is σ = 7702296000. Its totient is φ = 526901760.

The previous prime is 2038817087. The next prime is 2038817119. The reversal of 2038817088 is 8807188302.

It is a happy number.

2038817088 is a `hidden beast` number, since 20 + 388 + 170 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038817087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10245213 + ... + 10245411.

Almost surely, 2^2038817088 is an apocalyptic number.

2038817088 is a gapful number since it is divisible by the number (28) 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 2038817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851148000).

2038817088 is an abundant number, since it is smaller than the sum of its proper divisors (5663478912).

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

2038817088 is a wasteful number, since it uses less digits than its factorization.

2038817088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 2038817088 is about 45153.2622077298. The cubic root of 2038817088 is about 1268.0199554357.

The spelling of 2038817088 in words is "two billion, thirty-eight million, eight hundred seventeen thousand, eighty-eight".