2165724160 has 176 divisors, whose sum is σ = 5539280256. Its totient is φ = 810647552.

The previous prime is 2165724157. The next prime is 2165724179. The reversal of 2165724160 is 614275612.

It is a super-2 number, since 2×2165724160² = 9380722274415411200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 6241107 + ... + 6241453.

Almost surely, 2^2165724160 is an apocalyptic number.

2165724160 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 2165724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769640128).

2165724160 is an abundant number, since it is smaller than the sum of its proper divisors (3373556096).

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

2165724160 is a wasteful number, since it uses less digits than its factorization.

2165724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2165724160 is about 46537.3415656718. The cubic root of 2165724160 is about 1293.8016891139.

Adding to 2165724160 its reverse (614275612), we get a palindrome (2779999772).

The spelling of 2165724160 in words is "two billion, one hundred sixty-five million, seven hundred twenty-four thousand, one hundred sixty".