2164444128 has 432 divisors, whose sum is σ = 8156453760. Its totient is φ = 531463680.

The previous prime is 2164444127. The next prime is 2164444169. The reversal of 2164444128 is 8214444612.

2164444128 is a `hidden beast` number, since 2 + 1 + 644 + 4 + 4 + 1 + 2 + 8 = 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 a junction number, because it is equal to n+sod(n) for n = 2164444092 and 2164444101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164444123) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4634551 + ... + 4635017.

It is an arithmetic number, because the mean of its divisors is an integer number (18880680).

Almost surely, 2^2164444128 is an apocalyptic number.

2164444128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078226880).

2164444128 is an abundant number, since it is smaller than the sum of its proper divisors (5992009632).

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

2164444128 is a wasteful number, since it uses less digits than its factorization.

2164444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2164444128 is about 46523.5867920778. The cubic root of 2164444128 is about 1293.5467422194.

The spelling of 2164444128 in words is "two billion, one hundred sixty-four million, four hundred forty-four thousand, one hundred twenty-eight".