2195429806080 has 1092 divisors, whose sum is σ = 9191658527892. Its totient is φ = 501645312000.

The previous prime is 2195429806057. The next prime is 2195429806093. The reversal of 2195429806080 is 806089245912.

It is a happy number.

2195429806080 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 4 + 29 + 8 + 0 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 983810064384 + 1211619741696 = 991872^2 + 1100736^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 731564580 + ... + 731567580.

Almost surely, 2^{2195429806080} is an apocalyptic number.

2195429806080 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 2195429806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595829263946).

2195429806080 is an abundant number, since it is smaller than the sum of its proper divisors (6996228721812).

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

2195429806080 is an frugal number, since it uses more digits than its factorization.

2195429806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2195429806080 in words is "two trillion, one hundred ninety-five billion, four hundred twenty-nine million, eight hundred six thousand, eighty".