2170068768 has 288 divisors, whose sum is σ = 7795097856. Its totient is φ = 557973504.

The previous prime is 2170068697. The next prime is 2170068773. The reversal of 2170068768 is 8678600712.

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

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, 786880 + ... + 789632.

It is an arithmetic number, because the mean of its divisors is an integer number (27066312).

Almost surely, 2^2170068768 is an apocalyptic number.

2170068768 is a gapful number since it is divisible by the number (28) 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 2170068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897548928).

2170068768 is an abundant number, since it is smaller than the sum of its proper divisors (5625029088).

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

2170068768 is a wasteful number, since it uses less digits than its factorization.

2170068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2170068768 is about 46583.9969088098. The cubic root of 2170068768 is about 1294.6662662220. Note that the first 3 decimals are identical.

The spelling of 2170068768 in words is "two billion, one hundred seventy million, sixty-eight thousand, seven hundred sixty-eight".