2042003203020 has 768 divisors, whose sum is σ = 7254348595200. Its totient is φ = 472556160000.

The previous prime is 2042003202959. The next prime is 2042003203063. The reversal of 2042003203020 is 203023002402.

2042003203020 is a `hidden beast` number, since 2 + 0 + 42 + 0 + 0 + 320 + 302 + 0 = 666.

It is a super-2 number, since 2×2042003203020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2042003202984 and 2042003203002.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2487214210 + ... + 2487215030.

It is an arithmetic number, because the mean of its divisors is an integer number (9445766400).

Almost surely, 2^{2042003203020} is an apocalyptic number.

2042003203020 is a gapful number since it is divisible by the number (20) 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 2042003203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627174297600).

2042003203020 is an abundant number, since it is smaller than the sum of its proper divisors (5212345392180).

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

2042003203020 is a wasteful number, since it uses less digits than its factorization.

2042003203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2042003203020 its reverse (203023002402), we get a palindrome (2245026205422).

The spelling of 2042003203020 in words is "two trillion, forty-two billion, three million, two hundred three thousand, twenty".