10270336224 has 96 divisors (see below), whose sum is σ = 27882731520. Its totient is φ = 3308078592.

The previous prime is 10270336217. The next prime is 10270336273. The reversal of 10270336224 is 42263307201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10270336191 and 10270336200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 342042 + ... + 370854.

It is an arithmetic number, because the mean of its divisors is an integer number (290445120).

Almost surely, 2^10270336224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10270336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941365760).

10270336224 is an abundant number, since it is smaller than the sum of its proper divisors (17612395296).

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

10270336224 is a wasteful number, since it uses less digits than its factorization.

10270336224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28952 (or 28944 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 10270336224 in words is "ten billion, two hundred seventy million, three hundred thirty-six thousand, two hundred twenty-four".