2040004004024 has 192 divisors, whose sum is σ = 4731802012800. Its totient is φ = 820548900864.

The previous prime is 2040004004021. The next prime is 2040004004033. The reversal of 2040004004024 is 4204004000402.

It is a junction number, because it is equal to n+sod(n) for n = 2040004003987 and 2040004004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040004004021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696959249 + ... + 696962175.

It is an arithmetic number, because the mean of its divisors is an integer number (24644802150).

Almost surely, 2^{2040004004024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040004004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365901006400).

2040004004024 is an abundant number, since it is smaller than the sum of its proper divisors (2691798008776).

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

2040004004024 is a wasteful number, since it uses less digits than its factorization.

2040004004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4659 counting only the distinct ones).

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

Adding to 2040004004024 its reverse (4204004000402), we get a palindrome (6244008004426).

It can be divided in two parts, 204000 and 4004024, that added together give a palindrome (4208024).

The spelling of 2040004004024 in words is "two trillion, forty billion, four million, four thousand, twenty-four".