2164128040 has 32 divisors (see below), whose sum is σ = 4872316680. Its totient is φ = 865112832.

The previous prime is 2164128023. The next prime is 2164128047. The reversal of 2164128040 is 408214612.

2164128040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1892076004 + 272052036 = 43498^2 + 16494^2 .

It is a super-3 number, since 3×2164128040³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2164128047) 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, 51742 + ... + 83698.

Almost surely, 2^2164128040 is an apocalyptic number.

2164128040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164128040 is an abundant number, since it is smaller than the sum of its proper divisors (2708188640).

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

2164128040 is a wasteful number, since it uses less digits than its factorization.

2164128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33661 (or 33657 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2164128040 is about 46520.1895954864. The cubic root of 2164128040 is about 1293.4837707768.

The spelling of 2164128040 in words is "two billion, one hundred sixty-four million, one hundred twenty-eight thousand, forty".