2164610112 has 448 divisors, whose sum is σ = 7412736000. Its totient is φ = 543449088.

The previous prime is 2164610099. The next prime is 2164610137. The reversal of 2164610112 is 2110164612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27400089 + ... + 27400167.

Almost surely, 2^2164610112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706368000).

2164610112 is an abundant number, since it is smaller than the sum of its proper divisors (5248125888).

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

2164610112 is a wasteful number, since it uses less digits than its factorization.

2164610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2164610112 is about 46525.3706272180. The cubic root of 2164610112 is about 1293.5798073025.

Adding to 2164610112 its reverse (2110164612), we get a palindrome (4274774724).

The spelling of 2164610112 in words is "two billion, one hundred sixty-four million, six hundred ten thousand, one hundred twelve".