42020002024 has 192 divisors, whose sum is σ = 107664117120. Its totient is φ = 14959296000.

The previous prime is 42020001983. The next prime is 42020002067.

42020002024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42020001989 and 42020002007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8894527 + ... + 8899249.

It is an arithmetic number, because the mean of its divisors is an integer number (560750610).

Almost surely, 2^42020002024 is an apocalyptic number.

42020002024 is a gapful number since it is divisible by the number (44) 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 42020002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53832058560).

42020002024 is an abundant number, since it is smaller than the sum of its proper divisors (65644115096).

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

42020002024 is a wasteful number, since it uses less digits than its factorization.

42020002024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 4202000 and 2024, that added together give a palindrome (4204024).

The spelling of 42020002024 in words is "forty-two billion, twenty million, two thousand, twenty-four".