2042400240020 has 96 divisors (see below), whose sum is σ = 4917365349120. Its totient is φ = 698024954880.

The previous prime is 2042400240017. The next prime is 2042400240031. The reversal of 2042400240020 is 200420042402.

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 = 2042400239974 and 2042400240001.

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, 77476682 + ... + 77503038.

It is an arithmetic number, because the mean of its divisors is an integer number (51222555720).

Almost surely, 2^{2042400240020} is an apocalyptic number.

2042400240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042400240020 is an abundant number, since it is smaller than the sum of its proper divisors (2874965109100).

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

2042400240020 is a wasteful number, since it uses less digits than its factorization.

2042400240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28113 (or 28111 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2042400240020 its reverse (200420042402), we get a palindrome (2242820282422).

The spelling of 2042400240020 in words is "two trillion, forty-two billion, four hundred million, two hundred forty thousand, twenty".