2165516360 has 64 divisors (see below), whose sum is σ = 5580731520. Its totient is φ = 740828160.

The previous prime is 2165516351. The next prime is 2165516371. The reversal of 2165516360 is 636155612.

It is a super-2 number, since 2×2165516360² = 9378922210855299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2165516360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122480 + ... + 139040.

It is an arithmetic number, because the mean of its divisors is an integer number (87198930).

Almost surely, 2^2165516360 is an apocalyptic number.

2165516360 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 2165516360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790365760).

2165516360 is an abundant number, since it is smaller than the sum of its proper divisors (3415215160).

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

2165516360 is a wasteful number, since it uses less digits than its factorization.

2165516360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046 (or 17042 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 2165516360 is about 46535.1088964021. The cubic root of 2165516360 is about 1293.7603079453.

The spelling of 2165516360 in words is "two billion, one hundred sixty-five million, five hundred sixteen thousand, three hundred sixty".