2644432164 has 96 divisors (see below), whose sum is σ = 7737206400. Its totient is φ = 773700480.

The previous prime is 2644432129. The next prime is 2644432177. The reversal of 2644432164 is 4612344462.

2644432164 is a `hidden beast` number, since 2 + 64 + 4 + 432 + 164 = 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.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3927 + ... + 72830.

It is an arithmetic number, because the mean of its divisors is an integer number (80595900).

Almost surely, 2^2644432164 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 2644432164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868603200).

2644432164 is an abundant number, since it is smaller than the sum of its proper divisors (5092774236).

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

2644432164 is a wasteful number, since it uses less digits than its factorization.

2644432164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76810 (or 76802 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2644432164 is about 51424.0426648858. The cubic root of 2644432164 is about 1382.8576511796.

The spelling of 2644432164 in words is "two billion, six hundred forty-four million, four hundred thirty-two thousand, one hundred sixty-four".