2205974808576 has 1344 divisors, whose sum is σ = 8524854374400. Its totient is φ = 553601433600.

The previous prime is 2205974808533. The next prime is 2205974808599. The reversal of 2205974808576 is 6758084795022.

2205974808576 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 9 + 7 + 480 + 85 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3563771595 + ... + 3563772213.

It is an arithmetic number, because the mean of its divisors is an integer number (6342897600).

Almost surely, 2^{2205974808576} 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 2205974808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262427187200).

2205974808576 is an abundant number, since it is smaller than the sum of its proper divisors (6318879565824).

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

2205974808576 is an equidigital number, since it uses as much as digits as its factorization.

2205974808576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 2205974808576 in words is "two trillion, two hundred five billion, nine hundred seventy-four million, eight hundred eight thousand, five hundred seventy-six".