2165310720 has 216 divisors, whose sum is σ = 7569990792. Its totient is φ = 571392000.

The previous prime is 2165310691. The next prime is 2165310739. The reversal of 2165310720 is 270135612.

It is a happy number.

2165310720 is a `hidden beast` number, since 2 + 1 + 653 + 1 + 0 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120824064 + 2044486656 = 10992^2 + 45216^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162590 + ... + 1164450.

Almost surely, 2^2165310720 is an apocalyptic number.

2165310720 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 2165310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784995396).

2165310720 is an abundant number, since it is smaller than the sum of its proper divisors (5404680072).

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

2165310720 is a wasteful number, since it uses less digits than its factorization.

2165310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2165310720 is about 46532.8993293992. The cubic root of 2165310720 is about 1293.7193543115.

The spelling of 2165310720 in words is "two billion, one hundred sixty-five million, three hundred ten thousand, seven hundred twenty".