2019600008160 has 768 divisors, whose sum is σ = 7963898019840. Its totient is φ = 419537387520.

The previous prime is 2019600008099. The next prime is 2019600008189. The reversal of 2019600008160 is 618000069102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1074826101 + ... + 1074827979.

It is an arithmetic number, because the mean of its divisors is an integer number (10369658880).

Almost surely, 2^{2019600008160} is an apocalyptic number.

2019600008160 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 2019600008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981949009920).

2019600008160 is an abundant number, since it is smaller than the sum of its proper divisors (5944298011680).

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

2019600008160 is a wasteful number, since it uses less digits than its factorization.

2019600008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 2019600008160 in words is "two trillion, nineteen billion, six hundred million, eight thousand, one hundred sixty".