2160316040 has 64 divisors (see below), whose sum is σ = 5086456560. Its totient is φ = 824878080.

The previous prime is 2160316031. The next prime is 2160316049. The reversal of 2160316040 is 406130612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2160316031) and next prime (2160316049).

It can be written as a sum of positive squares in 8 ways, for example, as 1543389796 + 616926244 = 39286^2 + 24838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2160315997 and 2160316015.

It is not an unprimeable number, because it can be changed into a prime (2160316049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64670 + ... + 92210.

Almost surely, 2^2160316040 is an apocalyptic number.

2160316040 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 2160316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543228280).

2160316040 is an abundant number, since it is smaller than the sum of its proper divisors (2926140520).

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

2160316040 is a wasteful number, since it uses less digits than its factorization.

2160316040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27642 (or 27638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2160316040 is about 46479.2000791752. The cubic root of 2160316040 is about 1292.7238560871.

Adding to 2160316040 its reverse (406130612), we get a palindrome (2566446652).

The spelling of 2160316040 in words is "two billion, one hundred sixty million, three hundred sixteen thousand, forty".