2038556160 has 480 divisors, whose sum is σ = 7641073440. Its totient is φ = 520224768.

The previous prime is 2038556153. The next prime is 2038556161. The reversal of 2038556160 is 616558302.

2038556160 is a `hidden beast` number, since 2 + 0 + 38 + 5 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2038556160² = 8311422434947891200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038556161) 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, 18040264 + ... + 18040376.

It is an arithmetic number, because the mean of its divisors is an integer number (15918903).

It is a vampire number, since it can be written as 25056 ⋅ 81360 (with its own digits).

Almost surely, 2^2038556160 is an apocalyptic number.

2038556160 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 2038556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820536720).

2038556160 is an abundant number, since it is smaller than the sum of its proper divisors (5602517280).

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

2038556160 is an equidigital number, since it uses as much as digits as its factorization.

2038556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2038556160 is about 45150.3727559364. The cubic root of 2038556160 is about 1267.9658593574.

The spelling of 2038556160 in words is "two billion, thirty-eight million, five hundred fifty-six thousand, one hundred sixty".