2165311560 has 128 divisors (see below), whose sum is σ = 6748508160. Its totient is φ = 555206400.

The previous prime is 2165311481. The next prime is 2165311579. The reversal of 2165311560 is 651135612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604575 + ... + 608145.

It is an arithmetic number, because the mean of its divisors is an integer number (52722720).

Almost surely, 2^2165311560 is an apocalyptic number.

2165311560 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 2165311560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374254080).

2165311560 is an abundant number, since it is smaller than the sum of its proper divisors (4583196600).

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

2165311560 is a wasteful number, since it uses less digits than its factorization.

2165311560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2165311560 is about 46532.9083552705. The cubic root of 2165311560 is about 1293.7195216046.

The spelling of 2165311560 in words is "two billion, one hundred sixty-five million, three hundred eleven thousand, five hundred sixty".