2195641608960 has 288 divisors, whose sum is σ = 7095128221440. Its totient is φ = 578631942144.

The previous prime is 2195641608949. The next prime is 2195641608983. The reversal of 2195641608960 is 698061465912.

It is a self number, because there is not a number n which added to its sum of digits gives 2195641608960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112029882 + ... + 112049478.

It is an arithmetic number, because the mean of its divisors is an integer number (24635861880).

Almost surely, 2^{2195641608960} is an apocalyptic number.

2195641608960 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 2195641608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547564110720).

2195641608960 is an abundant number, since it is smaller than the sum of its proper divisors (4899486612480).

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

2195641608960 is a wasteful number, since it uses less digits than its factorization.

2195641608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19963 (or 19949 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 2195641608960 in words is "two trillion, one hundred ninety-five billion, six hundred forty-one million, six hundred eight thousand, nine hundred sixty".