2164104216 has 160 divisors (see below), whose sum is σ = 6465523680. Its totient is φ = 673920000.

The previous prime is 2164104191. The next prime is 2164104227. The reversal of 2164104216 is 6124014612.

2164104216 is a `hidden beast` number, since 2 + 1 + 641 + 0 + 4 + 2 + 16 = 666.

It is a super-3 number, since 3×2164104216³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2164104216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1662766 + ... + 1664066.

It is an arithmetic number, because the mean of its divisors is an integer number (40409523).

Almost surely, 2^2164104216 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 2164104216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232761840).

2164104216 is an abundant number, since it is smaller than the sum of its proper divisors (4301419464).

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

2164104216 is a wasteful number, since it uses less digits than its factorization.

2164104216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2164104216 is about 46519.9335339164. The cubic root of 2164104216 is about 1293.4790242815.

Adding to 2164104216 its reverse (6124014612), we get a palindrome (8288118828).

The spelling of 2164104216 in words is "two billion, one hundred sixty-four million, one hundred four thousand, two hundred sixteen".