2164672512 has 120 divisors (see below), whose sum is σ = 6466209750. Its totient is φ = 721502208.

The previous prime is 2164672483. The next prime is 2164672513. The reversal of 2164672512 is 2152764612.

It is a happy number.

2164672512 is a `hidden beast` number, since 2 + 1 + 646 + 7 + 2 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1792336896 + 372335616 = 42336^2 + 19296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2164672513) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159364 + ... + 172412.

Almost surely, 2^2164672512 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 2164672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233104875).

2164672512 is an abundant number, since it is smaller than the sum of its proper divisors (4301537238).

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

2164672512 is an equidigital number, since it uses as much as digits as its factorization.

2164672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13083 (or 13054 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2164672512 is about 46526.0412242434. The cubic root of 2164672512 is about 1293.5922373476.

The spelling of 2164672512 in words is "two billion, one hundred sixty-four million, six hundred seventy-two thousand, five hundred twelve".