2195746318080 has 864 divisors, whose sum is σ = 8950395138048. Its totient is φ = 486626918400.

The previous prime is 2195746318067. The next prime is 2195746318097. The reversal of 2195746318080 is 808136475912.

2195746318080 is a `hidden beast` number, since 2 + 1 + 9 + 574 + 63 + 1 + 8 + 0 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349248697 + ... + 349254983.

It is an arithmetic number, because the mean of its divisors is an integer number (10359253632).

It is a 1-persistent number, because it is pandigital, but 2⋅2195746318080 = 4391492636160 is not.

Almost surely, 2^{2195746318080} is an apocalyptic number.

2195746318080 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 2195746318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475197569024).

2195746318080 is an abundant number, since it is smaller than the sum of its proper divisors (6754648819968).

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

2195746318080 is a wasteful number, since it uses less digits than its factorization.

2195746318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2195746318080 in words is "two trillion, one hundred ninety-five billion, seven hundred forty-six million, three hundred eighteen thousand, eighty".