2163162144 has 576 divisors, whose sum is σ = 7650091008. Its totient is φ = 527155200.

The previous prime is 2163162139. The next prime is 2163162149. The reversal of 2163162144 is 4412613612.

It is an interprime number because it is at equal distance from previous prime (2163162139) and next prime (2163162149).

It is a super-2 number, since 2×2163162144² = 9358540922469353472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2163162149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69779409 + ... + 69779439.

It is an arithmetic number, because the mean of its divisors is an integer number (13281408).

Almost surely, 2^2163162144 is an apocalyptic number.

2163162144 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 2163162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825045504).

2163162144 is an abundant number, since it is smaller than the sum of its proper divisors (5486928864).

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

2163162144 is a wasteful number, since it uses less digits than its factorization.

2163162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2163162144 is about 46509.8069658432. The cubic root of 2163162144 is about 1293.2913057752.

Adding to 2163162144 its reverse (4412613612), we get a palindrome (6575775756).

The spelling of 2163162144 in words is "two billion, one hundred sixty-three million, one hundred sixty-two thousand, one hundred forty-four".