10242224160 has 192 divisors, whose sum is σ = 37238310144. Its totient is φ = 2317824000.

The previous prime is 10242224159. The next prime is 10242224183. The reversal of 10242224160 is 6142224201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10242224160.

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, 324270 + ... + 354450.

It is an arithmetic number, because the mean of its divisors is an integer number (193949532).

Almost surely, 2^10242224160 is an apocalyptic number.

10242224160 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 10242224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619155072).

10242224160 is an abundant number, since it is smaller than the sum of its proper divisors (26996085984).

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

10242224160 is a wasteful number, since it uses less digits than its factorization.

10242224160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30307 (or 30299 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10242224160 its reverse (6142224201), we get a palindrome (16384448361).

The spelling of 10242224160 in words is "ten billion, two hundred forty-two million, two hundred twenty-four thousand, one hundred sixty".