10002342020 has 144 divisors (see below), whose sum is σ = 24750290880. Its totient is φ = 3365836800.

The previous prime is 10002342017. The next prime is 10002342079. The reversal of 10002342020 is 2024320001.

It is a junction number, because it is equal to n+sod(n) for n = 10002341986 and 10002342004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3877091 + ... + 3879669.

It is an arithmetic number, because the mean of its divisors is an integer number (171877020).

Almost surely, 2^10002342020 is an apocalyptic number.

10002342020 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 10002342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375145440).

10002342020 is an abundant number, since it is smaller than the sum of its proper divisors (14747948860).

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

10002342020 is a wasteful number, since it uses less digits than its factorization.

10002342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10002342020 its reverse (2024320001), we get a palindrome (12026662021).

The spelling of 10002342020 in words is "ten billion, two million, three hundred forty-two thousand, twenty".