2171796002960 has 20 divisors (see below), whose sum is σ = 5049425707068. Its totient is φ = 868718401152.

The previous prime is 2171796002951. The next prime is 2171796002963. The reversal of 2171796002960 is 692006971712.

It can be written as a sum of positive squares in 2 ways, for example, as 767011627264 + 1404784375696 = 875792^2 + 1185236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2171796002899 and 2171796002908.

It is not an unprimeable number, because it can be changed into a prime (2171796002963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13573724939 + ... + 13573725098.

Almost surely, 2^{2171796002960} is an apocalyptic number.

2171796002960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2171796002960 is an abundant number, since it is smaller than the sum of its proper divisors (2877629704108).

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

2171796002960 is a wasteful number, since it uses less digits than its factorization.

2171796002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27147450050 (or 27147450044 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 50.

The spelling of 2171796002960 in words is "two trillion, one hundred seventy-one billion, seven hundred ninety-six million, two thousand, nine hundred sixty".