2002420420 has 192 divisors, whose sum is σ = 5842368000. Its totient is φ = 556093440.

The previous prime is 2002420351. The next prime is 2002420421. The reversal of 2002420420 is 240242002.

It is a super-3 number, since 3×2002420420³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002420394 and 2002420403.

It is not an unprimeable number, because it can be changed into a prime (2002420421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578856 + ... + 582304.

It is an arithmetic number, because the mean of its divisors is an integer number (30429000).

Almost surely, 2^2002420420 is an apocalyptic number.

2002420420 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 2002420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921184000).

2002420420 is an abundant number, since it is smaller than the sum of its proper divisors (3839947580).

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

2002420420 is a wasteful number, since it uses less digits than its factorization.

2002420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3516 counting only the distinct ones).

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

The square root of 2002420420 is about 44748.4124858078. The cubic root of 2002420420 is about 1260.4291013516.

Adding to 2002420420 its reverse (240242002), we get a palindrome (2242662422).

The spelling of 2002420420 in words is "two billion, two million, four hundred twenty thousand, four hundred twenty".