2172535760 has 80 divisors (see below), whose sum is σ = 5167169280. Its totient is φ = 849231360.

The previous prime is 2172535681. The next prime is 2172535793. The reversal of 2172535760 is 675352712.

It is a tau number, because it is divible by the number of its divisors (80).

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, 853049 + ... + 855591.

It is an arithmetic number, because the mean of its divisors is an integer number (64589616).

Almost surely, 2^2172535760 is an apocalyptic number.

2172535760 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 2172535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583584640).

2172535760 is an abundant number, since it is smaller than the sum of its proper divisors (2994633520).

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

2172535760 is a wasteful number, since it uses less digits than its factorization.

2172535760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 2172535760 is about 46610.4683520773. The cubic root of 2172535760 is about 1295.1566841321.

The spelling of 2172535760 in words is "two billion, one hundred seventy-two million, five hundred thirty-five thousand, seven hundred sixty".