2165218560 has 576 divisors, whose sum is σ = 8288501760. Its totient is φ = 534159360.

The previous prime is 2165218553. The next prime is 2165218571. The reversal of 2165218560 is 658125612.

2165218560 is a `hidden beast` number, since 21 + 65 + 2 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 46068457 + ... + 46068503.

It is an arithmetic number, because the mean of its divisors is an integer number (14389760).

Almost surely, 2^2165218560 is an apocalyptic number.

2165218560 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 2165218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144250880).

2165218560 is an abundant number, since it is smaller than the sum of its proper divisors (6123283200).

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

2165218560 is a wasteful number, since it uses less digits than its factorization.

2165218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2165218560 is about 46531.9090517464. The cubic root of 2165218560 is about 1293.7009996144.

The spelling of 2165218560 in words is "two billion, one hundred sixty-five million, two hundred eighteen thousand, five hundred sixty".