2085720142272 has 672 divisors, whose sum is σ = 6414978028032. Its totient is φ = 593961984000.

The previous prime is 2085720142267. The next prime is 2085720142273. The reversal of 2085720142272 is 2722410275802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085720142273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6301269147 + ... + 6301269477.

It is an arithmetic number, because the mean of its divisors is an integer number (9546098256).

Almost surely, 2^{2085720142272} 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 2085720142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207489014016).

2085720142272 is an abundant number, since it is smaller than the sum of its proper divisors (4329257885760).

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

2085720142272 is a wasteful number, since it uses less digits than its factorization.

2085720142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 2085720142272 in words is "two trillion, eighty-five billion, seven hundred twenty million, one hundred forty-two thousand, two hundred seventy-two".