2038196160 has 1008 divisors, whose sum is σ = 9675705312. Its totient is φ = 387072000.

The previous prime is 2038196099. The next prime is 2038196179. The reversal of 2038196160 is 616918302.

2038196160 is a `hidden beast` number, since 2 + 0 + 38 + 1 + 9 + 616 + 0 = 666.

2038196160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20180110 + ... + 20180210.

It is an arithmetic number, because the mean of its divisors is an integer number (9598914).

Almost surely, 2^2038196160 is an apocalyptic number.

2038196160 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 2038196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837852656).

2038196160 is an abundant number, since it is smaller than the sum of its proper divisors (7637509152).

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

2038196160 is a wasteful number, since it uses less digits than its factorization.

2038196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2038196160 is about 45146.3859018637. The cubic root of 2038196160 is about 1267.8912159094.

The spelling of 2038196160 in words is "two billion, thirty-eight million, one hundred ninety-six thousand, one hundred sixty".