10002424320 has 480 divisors, whose sum is σ = 41074121088. Its totient is φ = 2285273088.

The previous prime is 10002424291. The next prime is 10002424321. The reversal of 10002424320 is 2342420001.

10002424320 is a `hidden beast` number, since 100 + 0 + 242 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002424293 and 10002424302.

It is not an unprimeable number, because it can be changed into a prime (10002424321) 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, 4353412 + ... + 4355708.

Almost surely, 2^10002424320 is an apocalyptic number.

10002424320 is a gapful number since it is divisible by the number (10) 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 10002424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537060544).

10002424320 is an abundant number, since it is smaller than the sum of its proper divisors (31071696768).

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

10002424320 is an frugal number, since it uses more digits than its factorization.

10002424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10002424320 its reverse (2342420001), we get a palindrome (12344844321).

The spelling of 10002424320 in words is "ten billion, two million, four hundred twenty-four thousand, three hundred twenty".