2442010014020 has 24 divisors (see below), whose sum is σ = 5139902644800. Its totient is φ = 974578936032.

The previous prime is 2442010013987. The next prime is 2442010014061. The reversal of 2442010014020 is 204100102442.

It is a super-3 number, since 3×2442010014020³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2442010013983 and 2442010014001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139057850 + ... + 139075409.

It is an arithmetic number, because the mean of its divisors is an integer number (214162610200).

Almost surely, 2^{2442010014020} is an apocalyptic number.

2442010014020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442010014020 is an abundant number, since it is smaller than the sum of its proper divisors (2697892630780).

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

2442010014020 is a wasteful number, since it uses less digits than its factorization.

2442010014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278133707 (or 278133705 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2442010014020 its reverse (204100102442), we get a palindrome (2646110116462).

The spelling of 2442010014020 in words is "two trillion, four hundred forty-two billion, ten million, fourteen thousand, twenty".