2168605152 has 288 divisors, whose sum is σ = 7449624000. Its totient is φ = 597445632.

The previous prime is 2168605139. The next prime is 2168605199. The reversal of 2168605152 is 2515068612.

2168605152 is a `hidden beast` number, since 21 + 68 + 60 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2864358 + ... + 2865114.

It is an arithmetic number, because the mean of its divisors is an integer number (25866750).

Almost surely, 2^2168605152 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 2168605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724812000).

2168605152 is an abundant number, since it is smaller than the sum of its proper divisors (5281018848).

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

2168605152 is a wasteful number, since it uses less digits than its factorization.

2168605152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2168605152 is about 46568.2848299140. The cubic root of 2168605152 is about 1294.3751355971.

The spelling of 2168605152 in words is "two billion, one hundred sixty-eight million, six hundred five thousand, one hundred fifty-two".