2002240420 has 48 divisors (see below), whose sum is σ = 4302160128. Its totient is φ = 782397440.

The previous prime is 2002240403. The next prime is 2002240447. The reversal of 2002240420 is 240422002.

It is a junction number, because it is equal to n+sod(n) for n = 2002240394 and 2002240403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600879 + ... + 604201.

It is an arithmetic number, because the mean of its divisors is an integer number (89628336).

Almost surely, 2^2002240420 is an apocalyptic number.

2002240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002240420 is an abundant number, since it is smaller than the sum of its proper divisors (2299919708).

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

2002240420 is a wasteful number, since it uses less digits than its factorization.

2002240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4018 counting only the distinct ones).

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

The square root of 2002240420 is about 44746.4011960739. The cubic root of 2002240420 is about 1260.3913330530.

Adding to 2002240420 its reverse (240422002), we get a palindrome (2242662422).

The spelling of 2002240420 in words is "two billion, two million, two hundred forty thousand, four hundred twenty".