2195763768 has 192 divisors, whose sum is σ = 6937812000. Its totient is φ = 642216960.

The previous prime is 2195763763. The next prime is 2195763781. The reversal of 2195763768 is 8673675912.

2195763768 is a `hidden beast` number, since 2 + 1 + 9 + 576 + 3 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195763763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756496 + ... + 759392.

Almost surely, 2^2195763768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195763768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468906000).

2195763768 is an abundant number, since it is smaller than the sum of its proper divisors (4742048232).

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

2195763768 is a wasteful number, since it uses less digits than its factorization.

2195763768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2942 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 2195763768 is about 46858.9774536321. The cubic root of 2195763768 is about 1299.7561215099.

The spelling of 2195763768 in words is "two billion, one hundred ninety-five million, seven hundred sixty-three thousand, seven hundred sixty-eight".