2165640222240 has 576 divisors, whose sum is σ = 8396061972480. Its totient is φ = 522782346240.

The previous prime is 2165640222227. The next prime is 2165640222241. The reversal of 2165640222240 is 422220465612.

2165640222240 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 6 + 402 + 2 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2165640222195 and 2165640222204.

It is not an unprimeable number, because it can be changed into a prime (2165640222241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102204927 + ... + 102226113.

It is an arithmetic number, because the mean of its divisors is an integer number (14576496480).

Almost surely, 2^{2165640222240} is an apocalyptic number.

2165640222240 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 2165640222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198030986240).

2165640222240 is an abundant number, since it is smaller than the sum of its proper divisors (6230421750240).

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

2165640222240 is a wasteful number, since it uses less digits than its factorization.

2165640222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21467 (or 21447 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2165640222240 its reverse (422220465612), we get a palindrome (2587860687852).

The spelling of 2165640222240 in words is "two trillion, one hundred sixty-five billion, six hundred forty million, two hundred twenty-two thousand, two hundred forty".