2164361472 has 720 divisors, whose sum is σ = 8420887552. Its totient is φ = 537477120.

The previous prime is 2164361461. The next prime is 2164361489. The reversal of 2164361472 is 2741634612.

2164361472 is a `hidden beast` number, since 2 + 1 + 643 + 6 + 1 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58496238 + ... + 58496274.

Almost surely, 2^2164361472 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 2164361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210443776).

2164361472 is an abundant number, since it is smaller than the sum of its proper divisors (6256526080).

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

2164361472 is a wasteful number, since it uses less digits than its factorization.

2164361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2164361472 is about 46522.6984599991. The cubic root of 2164361472 is about 1293.5302759808.

The spelling of 2164361472 in words is "two billion, one hundred sixty-four million, three hundred sixty-one thousand, four hundred seventy-two".