2165006311320 has 64 divisors (see below), whose sum is σ = 6499317968640. Its totient is φ = 576952880000.

The previous prime is 2165006311289. The next prime is 2165006311333. The reversal of 2165006311320 is 231136005612.

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

It is a congruent number.

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, 5788806 + ... + 6151445.

It is an arithmetic number, because the mean of its divisors is an integer number (101551843260).

Almost surely, 2^{2165006311320} is an apocalyptic number.

2165006311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165006311320 is an abundant number, since it is smaller than the sum of its proper divisors (4334311657320).

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

2165006311320 is a wasteful number, since it uses less digits than its factorization.

2165006311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11941776 (or 11941772 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 2165006311320 in words is "two trillion, one hundred sixty-five billion, six million, three hundred eleven thousand, three hundred twenty".