2164128016 has 40 divisors (see below), whose sum is σ = 4592752920. Its totient is φ = 983291904.

The previous prime is 2164128013. The next prime is 2164128023. The reversal of 2164128016 is 6108214612.

It can be written as a sum of positive squares in 4 ways, for example, as 1204367616 + 959760400 = 34704^2 + 30980^2 .

It is not an unprimeable number, because it can be changed into a prime (2164128013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129291 + ... + 145066.

It is an arithmetic number, because the mean of its divisors is an integer number (114818823).

Almost surely, 2^2164128016 is an apocalyptic number.

It is an amenable number.

2164128016 is an abundant number, since it is smaller than the sum of its proper divisors (2428624904).

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

2164128016 is a wasteful number, since it uses less digits than its factorization.

2164128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274411 (or 274405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2164128016 is about 46520.1893375339. The cubic root of 2164128016 is about 1293.4837659953.

The spelling of 2164128016 in words is "two billion, one hundred sixty-four million, one hundred twenty-eight thousand, sixteen".