2002022402424 has 512 divisors, whose sum is σ = 6102959385600. Its totient is φ = 540094464000.

The previous prime is 2002022402399. The next prime is 2002022402447. The reversal of 2002022402424 is 4242042202002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2002022402394 and 2002022402403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3660004119 + ... + 3660004665.

It is an arithmetic number, because the mean of its divisors is an integer number (11919842550).

Almost surely, 2^{2002022402424} is an apocalyptic number.

2002022402424 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 2002022402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051479692800).

2002022402424 is an abundant number, since it is smaller than the sum of its proper divisors (4100936983176).

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

2002022402424 is a wasteful number, since it uses less digits than its factorization.

2002022402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2002022402424 its reverse (4242042202002), we get a palindrome (6244064604426).

The spelling of 2002022402424 in words is "two trillion, two billion, twenty-two million, four hundred two thousand, four hundred twenty-four".