2842286046600 has 3072 divisors, whose sum is σ = 13022526504960. Its totient is φ = 493782220800.

The previous prime is 2842286046547. The next prime is 2842286046601. The reversal of 2842286046600 is 66406822482.

It is a happy number.

2842286046600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2842286046600.

It is not an unprimeable number, because it can be changed into a prime (2842286046601) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 34244410159 + ... + 34244410241.

It is an arithmetic number, because the mean of its divisors is an integer number (4239103680).

Almost surely, 2^{2842286046600} is an apocalyptic number.

2842286046600 is a gapful number since it is divisible by the number (20) 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 2842286046600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511263252480).

2842286046600 is an abundant number, since it is smaller than the sum of its proper divisors (10180240458360).

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

2842286046600 is a wasteful number, since it uses less digits than its factorization.

2842286046600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 2842286046600 in words is "two trillion, eight hundred forty-two billion, two hundred eighty-six million, forty-six thousand, six hundred".