2120810446242 has 64 divisors (see below), whose sum is σ = 4878285264000. Its totient is φ = 682159431744.

The previous prime is 2120810446241. The next prime is 2120810446247. The reversal of 2120810446242 is 2426440180212.

2120810446242 is a `hidden beast` number, since 2 + 1 + 20 + 8 + 1 + 0 + 4 + 4 + 624 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2120810446197 and 2120810446206.

It is not an unprimeable number, because it can be changed into a prime (2120810446241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2280073 + ... + 3072515.

It is an arithmetic number, because the mean of its divisors is an integer number (76223207250).

Almost surely, 2^{2120810446242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120810446242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439142632000).

2120810446242 is an abundant number, since it is smaller than the sum of its proper divisors (2757474817758).

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

2120810446242 is a wasteful number, since it uses less digits than its factorization.

2120810446242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794192 (or 794186 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2120810446242 in words is "two trillion, one hundred twenty billion, eight hundred ten million, four hundred forty-six thousand, two hundred forty-two".