2165827560 has 256 divisors, whose sum is σ = 7262438400. Its totient is φ = 513257472.

The previous prime is 2165827541. The next prime is 2165827571. The reversal of 2165827560 is 657285612.

2165827560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9061921 + ... + 9062159.

It is an arithmetic number, because the mean of its divisors is an integer number (28368900).

Almost surely, 2^2165827560 is an apocalyptic number.

2165827560 is a gapful number since it is divisible by the number (20) 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 2165827560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631219200).

2165827560 is an abundant number, since it is smaller than the sum of its proper divisors (5096610840).

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

2165827560 is a wasteful number, since it uses less digits than its factorization.

2165827560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2165827560 is about 46538.4524882382. The cubic root of 2165827560 is about 1293.8222791423.

The spelling of 2165827560 in words is "two billion, one hundred sixty-five million, eight hundred twenty-seven thousand, five hundred sixty".