2042412241116 has 96 divisors (see below), whose sum is σ = 5166491033088. Its totient is φ = 624247706880.

The previous prime is 2042412241099. The next prime is 2042412241123. The reversal of 2042412241116 is 6111422142402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19339231 + ... + 19444553.

It is an arithmetic number, because the mean of its divisors is an integer number (53817614928).

Almost surely, 2^{2042412241116} is an apocalyptic number.

2042412241116 is a gapful number since it is divisible by the number (26) 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 2042412241116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583245516544).

2042412241116 is an abundant number, since it is smaller than the sum of its proper divisors (3124078791972).

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

2042412241116 is a wasteful number, since it uses less digits than its factorization.

2042412241116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106171 (or 106169 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 2042412241116 its reverse (6111422142402), we get a palindrome (8153834383518).

The spelling of 2042412241116 in words is "two trillion, forty-two billion, four hundred twelve million, two hundred forty-one thousand, one hundred sixteen".