2195191268010 has 384 divisors, whose sum is σ = 6496131410496. Its totient is φ = 510669619200.

The previous prime is 2195191267931. The next prime is 2195191268033. The reversal of 2195191268010 is 108621915912.

2195191268010 is a `hidden beast` number, since 2 + 1 + 9 + 519 + 126 + 8 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 866088948321 + 1329102319689 = 930639^2 + 1152867^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231726634 + ... + 231736106.

Almost surely, 2^{2195191268010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195191268010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248065705248).

2195191268010 is an abundant number, since it is smaller than the sum of its proper divisors (4300940142486).

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

2195191268010 is a wasteful number, since it uses less digits than its factorization.

2195191268010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 2195191268010 in words is "two trillion, one hundred ninety-five billion, one hundred ninety-one million, two hundred sixty-eight thousand, ten".