2162861568 has 480 divisors, whose sum is σ = 7762360320. Its totient is φ = 592220160.

The previous prime is 2162861563. The next prime is 2162861579. The reversal of 2162861568 is 8651682612.

2162861568 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 86 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162861563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20998605 + ... + 20998707.

It is an arithmetic number, because the mean of its divisors is an integer number (16171584).

Almost surely, 2^2162861568 is an apocalyptic number.

2162861568 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 2162861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881180160).

2162861568 is an abundant number, since it is smaller than the sum of its proper divisors (5599498752).

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

2162861568 is a wasteful number, since it uses less digits than its factorization.

2162861568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2162861568 is about 46506.5755350789. The cubic root of 2162861568 is about 1293.2314011375.

The spelling of 2162861568 in words is "two billion, one hundred sixty-two million, eight hundred sixty-one thousand, five hundred sixty-eight".