2042044202304 has 224 divisors, whose sum is σ = 6104771412480. Its totient is φ = 669179750400.

The previous prime is 2042044202291. The next prime is 2042044202327. The reversal of 2042044202304 is 4032024402402.

2042044202304 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 0 + 4 + 420 + 230 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281541142 + ... + 281548394.

Almost surely, 2^{2042044202304} is an apocalyptic number.

2042044202304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042044202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052385706240).

2042044202304 is an abundant number, since it is smaller than the sum of its proper divisors (4062727210176).

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

2042044202304 is a wasteful number, since it uses less digits than its factorization.

2042044202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2042044202304 its reverse (4032024402402), we get a palindrome (6074068604706).

The spelling of 2042044202304 in words is "two trillion, forty-two billion, forty-four million, two hundred two thousand, three hundred four".