2842406686200 has 192 divisors, whose sum is σ = 9206683948800. Its totient is φ = 724064281600.

The previous prime is 2842406686199. The next prime is 2842406686237. The reversal of 2842406686200 is 26866042482.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2842406686200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10366471 + ... + 10637129.

It is an arithmetic number, because the mean of its divisors is an integer number (47951478900).

Almost surely, 2^{2842406686200} is an apocalyptic number.

2842406686200 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 2842406686200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603341974400).

2842406686200 is an abundant number, since it is smaller than the sum of its proper divisors (6364277262600).

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

2842406686200 is a wasteful number, since it uses less digits than its factorization.

2842406686200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271462 (or 271453 counting only the distinct ones).

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

The spelling of 2842406686200 in words is "two trillion, eight hundred forty-two billion, four hundred six million, six hundred eighty-six thousand, two hundred".