2165306880 has 480 divisors, whose sum is σ = 8082125568. Its totient is φ = 490291200.

The previous prime is 2165306851. The next prime is 2165306887. The reversal of 2165306880 is 886035612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165306887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30497245 + ... + 30497315.

Almost surely, 2^2165306880 is an apocalyptic number.

2165306880 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 2165306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041062784).

2165306880 is an abundant number, since it is smaller than the sum of its proper divisors (5916818688).

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

2165306880 is a wasteful number, since it uses less digits than its factorization.

2165306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2165306880 is about 46532.8580682511. The cubic root of 2165306880 is about 1293.7185895429.

The spelling of 2165306880 in words is "two billion, one hundred sixty-five million, three hundred six thousand, eight hundred eighty".