10264240532 has 48 divisors (see below), whose sum is σ = 22189991040. Its totient is φ = 4045444992.

The previous prime is 10264240517. The next prime is 10264240537. The reversal of 10264240532 is 23504246201.

10264240532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10264240495 and 10264240504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264240537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45503 + ... + 150329.

It is an arithmetic number, because the mean of its divisors is an integer number (462291480).

Almost surely, 2^10264240532 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 10264240532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094995520).

10264240532 is an abundant number, since it is smaller than the sum of its proper divisors (11925750508).

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

10264240532 is a wasteful number, since it uses less digits than its factorization.

10264240532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105120 (or 105118 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 10264240532 its reverse (23504246201), we get a palindrome (33768486733).

The spelling of 10264240532 in words is "ten billion, two hundred sixty-four million, two hundred forty thousand, five hundred thirty-two".