2042400342224 has 40 divisors (see below), whose sum is σ = 4324098686400. Its totient is φ = 926813888000.

The previous prime is 2042400342193. The next prime is 2042400342233. The reversal of 2042400342224 is 4222430042402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9581177 + ... + 9792024.

It is an arithmetic number, because the mean of its divisors is an integer number (108102467160).

Almost surely, 2^{2042400342224} is an apocalyptic number.

It is an amenable number.

2042400342224 is an abundant number, since it is smaller than the sum of its proper divisors (2281698344176).

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

2042400342224 is a wasteful number, since it uses less digits than its factorization.

2042400342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19373819 (or 19373813 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 2042400342224 its reverse (4222430042402), we get a palindrome (6264830384626).

The spelling of 2042400342224 in words is "two trillion, forty-two billion, four hundred million, three hundred forty-two thousand, two hundred twenty-four".