2165937408 has 180 divisors, whose sum is σ = 6559032480. Its totient is φ = 710747136.

The previous prime is 2165937401. The next prime is 2165937443. The reversal of 2165937408 is 8047395612.

2165937408 is a `hidden beast` number, since 2 + 16 + 593 + 7 + 40 + 8 = 666.

2165937408 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2165937408 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165937401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1388533 + ... + 1390091.

It is a 1-persistent number, because it is pandigital, but 2⋅2165937408 = 4331874816 is not.

Almost surely, 2^2165937408 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 2165937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279516240).

2165937408 is an abundant number, since it is smaller than the sum of its proper divisors (4393095072).

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

2165937408 is an equidigital number, since it uses as much as digits as its factorization.

2165937408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2165937408 is about 46539.6326586276. The cubic root of 2165937408 is about 1293.8441524422.

The spelling of 2165937408 in words is "two billion, one hundred sixty-five million, nine hundred thirty-seven thousand, four hundred eight".