2573446311072 has 960 divisors, whose sum is σ = 10143883411200. Its totient is φ = 620786073600.

The previous prime is 2573446311071. The next prime is 2573446311083. The reversal of 2573446311072 is 2701136443752.

It is a happy number.

2573446311072 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 4 + 4 + 631 + 1 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2573446311071) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129955572 + ... + 129975372.

It is an arithmetic number, because the mean of its divisors is an integer number (10566545220).

Almost surely, 2^{2573446311072} 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 2573446311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071941705600).

2573446311072 is an abundant number, since it is smaller than the sum of its proper divisors (7570437100128).

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

2573446311072 is a wasteful number, since it uses less digits than its factorization.

2573446311072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19891 (or 19874 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2573446311072 in words is "two trillion, five hundred seventy-three billion, four hundred forty-six million, three hundred eleven thousand, seventy-two".