2068159104 has 288 divisors, whose sum is σ = 6735112020. Its totient is φ = 608256000.

The previous prime is 2068159073. The next prime is 2068159111. The reversal of 2068159104 is 4019518602.

2068159104 is a `hidden beast` number, since 2 + 0 + 68 + 1 + 591 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1465358400 + 602800704 = 38280^2 + 24552^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5157304 + ... + 5157704.

Almost surely, 2^2068159104 is an apocalyptic number.

2068159104 is a gapful number since it is divisible by the number (24) 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 2068159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367556010).

2068159104 is an abundant number, since it is smaller than the sum of its proper divisors (4666952916).

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

2068159104 is a wasteful number, since it uses less digits than its factorization.

2068159104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2068159104 is about 45477.0173164424. The cubic root of 2068159104 is about 1274.0739868985.

The spelling of 2068159104 in words is "two billion, sixty-eight million, one hundred fifty-nine thousand, one hundred four".