224000002420 has 96 divisors (see below), whose sum is σ = 500448678912. Its totient is φ = 84030955008.

The previous prime is 224000002357. The next prime is 224000002463. The reversal of 224000002420 is 24200000422.

It is a junction number, because it is equal to n+sod(n) for n = 224000002394 and 224000002403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61996534 + ... + 62000146.

It is an arithmetic number, because the mean of its divisors is an integer number (5213007072).

Almost surely, 2^224000002420 is an apocalyptic number.

224000002420 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 224000002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250224339456).

224000002420 is an abundant number, since it is smaller than the sum of its proper divisors (276448676492).

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

224000002420 is a wasteful number, since it uses less digits than its factorization.

224000002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6239 counting only the distinct ones).

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

Adding to 224000002420 its reverse (24200000422), we get a palindrome (248200002842).

It can be divided in two parts, 224000002 and 420, that added together give a palindrome (224000422).

The spelling of 224000002420 in words is "two hundred twenty-four billion, two thousand, four hundred twenty".