2842193897712 has 960 divisors, whose sum is σ = 9802802580480. Its totient is φ = 788781514752.

The previous prime is 2842193897651. The next prime is 2842193897713. The reversal of 2842193897712 is 2177983912482.

2842193897712 is a `hidden beast` number, since 28 + 4 + 219 + 389 + 7 + 7 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2842193897712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842193897713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4161337723 + ... + 4161338405.

It is an arithmetic number, because the mean of its divisors is an integer number (10211252688).

Almost surely, 2^{2842193897712} 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 2842193897712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901401290240).

2842193897712 is an abundant number, since it is smaller than the sum of its proper divisors (6960608682768).

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

2842193897712 is a wasteful number, since it uses less digits than its factorization.

2842193897712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 914 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 2842193897712 in words is "two trillion, eight hundred forty-two billion, one hundred ninety-three million, eight hundred ninety-seven thousand, seven hundred twelve".