2195581411296 has 1728 divisors, whose sum is σ = 8781666969600. Its totient is φ = 529862860800.

The previous prime is 2195581411271. The next prime is 2195581411301. The reversal of 2195581411296 is 6921141855912.

2195581411296 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 581 + 41 + 12 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4214167516 + ... + 4214168036.

It is an arithmetic number, because the mean of its divisors is an integer number (5081983200).

Almost surely, 2^{2195581411296} is an apocalyptic number.

2195581411296 is a gapful number since it is divisible by the number (26) 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 2195581411296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390833484800).

2195581411296 is an abundant number, since it is smaller than the sum of its proper divisors (6586085558304).

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

2195581411296 is a wasteful number, since it uses less digits than its factorization.

2195581411296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 596 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The spelling of 2195581411296 in words is "two trillion, one hundred ninety-five billion, five hundred eighty-one million, four hundred eleven thousand, two hundred ninety-six".