2038228920 has 640 divisors, whose sum is σ = 8742666240. Its totient is φ = 414305280.

The previous prime is 2038228919. The next prime is 2038228921. The reversal of 2038228920 is 298228302.

It is an interprime number because it is at equal distance from previous prime (2038228919) and next prime (2038228921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038228921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9139929 + ... + 9140151.

It is an arithmetic number, because the mean of its divisors is an integer number (13660416).

Almost surely, 2^2038228920 is an apocalyptic number.

2038228920 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 2038228920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371333120).

2038228920 is an abundant number, since it is smaller than the sum of its proper divisors (6704437320).

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

2038228920 is a wasteful number, since it uses less digits than its factorization.

2038228920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2038228920 is about 45146.7487201460. The cubic root of 2038228920 is about 1267.8980088266.

The spelling of 2038228920 in words is "two billion, thirty-eight million, two hundred twenty-eight thousand, nine hundred twenty".