2038533120 has 528 divisors, whose sum is σ = 7886223072. Its totient is φ = 483655680.

The previous prime is 2038533071. The next prime is 2038533127. The reversal of 2038533120 is 213358302.

2038533120 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 533 + 120 = 666.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2038533127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24560599 + ... + 24560681.

Almost surely, 2^2038533120 is an apocalyptic number.

2038533120 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 2038533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943111536).

2038533120 is an abundant number, since it is smaller than the sum of its proper divisors (5847689952).

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

2038533120 is a wasteful number, since it uses less digits than its factorization.

2038533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2038533120 is about 45150.1176078202. The cubic root of 2038533120 is about 1267.9610824399.

The spelling of 2038533120 in words is "two billion, thirty-eight million, five hundred thirty-three thousand, one hundred twenty".