2842332577728 has 448 divisors, whose sum is σ = 9235954990080. Its totient is φ = 752979345408.

The previous prime is 2842332577727. The next prime is 2842332577741. The reversal of 2842332577728 is 8277752332482.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842332577727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737691450 + ... + 737695302.

It is an arithmetic number, because the mean of its divisors is an integer number (20615970960).

Almost surely, 2^{2842332577728} is an apocalyptic number.

2842332577728 is a gapful number since it is divisible by the number (28) 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 2842332577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617977495040).

2842332577728 is an abundant number, since it is smaller than the sum of its proper divisors (6393622412352).

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

2842332577728 is a wasteful number, since it uses less digits than its factorization.

2842332577728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4354 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 60.

The spelling of 2842332577728 in words is "two trillion, eight hundred forty-two billion, three hundred thirty-two million, five hundred seventy-seven thousand, seven hundred twenty-eight".