2168159616 has 512 divisors, whose sum is σ = 7931520000. Its totient is φ = 569327616.

The previous prime is 2168159603. The next prime is 2168159629. The reversal of 2168159616 is 6169518612.

2168159616 is a `hidden beast` number, since 2 + 16 + 8 + 15 + 9 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (2168159603) and next prime (2168159629).

It is a super-2 number, since 2×2168159616² = 9401832240906534912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24361300 + ... + 24361388.

It is an arithmetic number, because the mean of its divisors is an integer number (15491250).

Almost surely, 2^2168159616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168159616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760000).

2168159616 is an abundant number, since it is smaller than the sum of its proper divisors (5763360384).

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

2168159616 is a wasteful number, since it uses less digits than its factorization.

2168159616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2168159616 is about 46563.5008993095. The cubic root of 2168159616 is about 1294.2864871837.

The spelling of 2168159616 in words is "two billion, one hundred sixty-eight million, one hundred fifty-nine thousand, six hundred sixteen".