2065600160 has 144 divisors (see below), whose sum is σ = 5357483208. Its totient is φ = 748124160.

The previous prime is 2065600129. The next prime is 2065600177. The reversal of 2065600160 is 610065602.

It can be written as a sum of positive squares in 4 ways, for example, as 1839037456 + 226562704 = 42884^2 + 15052^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10485182 + ... + 10485378.

Almost surely, 2^2065600160 is an apocalyptic number.

2065600160 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 2065600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678741604).

2065600160 is an abundant number, since it is smaller than the sum of its proper divisors (3291883048).

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

2065600160 is a wasteful number, since it uses less digits than its factorization.

2065600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2065600160 is about 45448.8741334700. The cubic root of 2065600160 is about 1273.5482972391.

Adding to 2065600160 its reverse (610065602), we get a palindrome (2675665762).

The spelling of 2065600160 in words is "two billion, sixty-five million, six hundred thousand, one hundred sixty".