10242020320 has 192 divisors, whose sum is σ = 28730298240. Its totient is φ = 3377037312.

The previous prime is 10242020279. The next prime is 10242020323. The reversal of 10242020320 is 2302024201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10242020294 and 10242020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242020323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3686772 + ... + 3689548.

It is an arithmetic number, because the mean of its divisors is an integer number (149636970).

Almost surely, 2^10242020320 is an apocalyptic number.

10242020320 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 10242020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365149120).

10242020320 is an abundant number, since it is smaller than the sum of its proper divisors (18488277920).

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

10242020320 is a wasteful number, since it uses less digits than its factorization.

10242020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10242020320 its reverse (2302024201), we get a palindrome (12544044521).

The spelling of 10242020320 in words is "ten billion, two hundred forty-two million, twenty thousand, three hundred twenty".