2068331616 has 144 divisors (see below), whose sum is σ = 6357209040. Its totient is φ = 634106880.

The previous prime is 2068331597. The next prime is 2068331641. The reversal of 2068331616 is 6161338602.

2068331616 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 3 + 31 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1238430 + ... + 1240098.

It is an arithmetic number, because the mean of its divisors is an integer number (44147285).

Almost surely, 2^2068331616 is an apocalyptic number.

2068331616 is a gapful number since it is divisible by the number (26) 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 2068331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178604520).

2068331616 is an abundant number, since it is smaller than the sum of its proper divisors (4288877424).

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

2068331616 is a wasteful number, since it uses less digits than its factorization.

2068331616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2068331616 is about 45478.9139712021. The cubic root of 2068331616 is about 1274.1094108238.

The spelling of 2068331616 in words is "two billion, sixty-eight million, three hundred thirty-one thousand, six hundred sixteen".