2442120331020 has 48 divisors (see below), whose sum is σ = 6839096302080. Its totient is φ = 651121671616.

The previous prime is 2442120330959. The next prime is 2442120331031. The reversal of 2442120331020 is 201330212442.

It is a happy number.

It is a super-2 number, since 2×2442120331020² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3093390 + ... + 3801749.

It is an arithmetic number, because the mean of its divisors is an integer number (142481172960).

Almost surely, 2^{2442120331020} is an apocalyptic number.

2442120331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442120331020 is an abundant number, since it is smaller than the sum of its proper divisors (4396975971060).

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

2442120331020 is a wasteful number, since it uses less digits than its factorization.

2442120331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901054 (or 6901052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2442120331020 its reverse (201330212442), we get a palindrome (2643450543462).

The spelling of 2442120331020 in words is "two trillion, four hundred forty-two billion, one hundred twenty million, three hundred thirty-one thousand, twenty".