2167264512 has 432 divisors, whose sum is σ = 7642924800. Its totient is φ = 611380224.

The previous prime is 2167264481. The next prime is 2167264573. The reversal of 2167264512 is 2154627612.

It is a happy number.

2167264512 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 2 + 645 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27433689 + ... + 27433767.

Almost surely, 2^2167264512 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 2167264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821462400).

2167264512 is an abundant number, since it is smaller than the sum of its proper divisors (5475660288).

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

2167264512 is an frugal number, since it uses more digits than its factorization.

2167264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 91 counting only the distinct ones).

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

The square root of 2167264512 is about 46553.8882586621. Note that the first 3 decimals coincide. The cubic root of 2167264512 is about 1294.1083513939.

The spelling of 2167264512 in words is "two billion, one hundred sixty-seven million, two hundred sixty-four thousand, five hundred twelve".