2164484736 has 192 divisors, whose sum is σ = 6554471040. Its totient is φ = 684288000.

The previous prime is 2164484723. The next prime is 2164484737. The reversal of 2164484736 is 6374844612.

2164484736 is a `hidden beast` number, since 2 + 164 + 484 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2164484691 and 2164484700.

It is not an unprimeable number, because it can be changed into a prime (2164484737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000626 + ... + 4001166.

It is an arithmetic number, because the mean of its divisors is an integer number (34137870).

Almost surely, 2^2164484736 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 2164484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277235520).

2164484736 is an abundant number, since it is smaller than the sum of its proper divisors (4389986304).

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

2164484736 is a wasteful number, since it uses less digits than its factorization.

2164484736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2164484736 is about 46524.0232138193. The cubic root of 2164484736 is about 1293.5548317511.

The spelling of 2164484736 in words is "two billion, one hundred sixty-four million, four hundred eighty-four thousand, seven hundred thirty-six".