10242150240 has 192 divisors, whose sum is σ = 38475150336. Its totient is φ = 2239260672.

The previous prime is 10242150211. The next prime is 10242150287. The reversal of 10242150240 is 4205124201.

10242150240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11014 + ... + 143546.

It is an arithmetic number, because the mean of its divisors is an integer number (200391408).

Almost surely, 2^10242150240 is an apocalyptic number.

10242150240 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 10242150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237575168).

10242150240 is an abundant number, since it is smaller than the sum of its proper divisors (28233000096).

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

10242150240 is a wasteful number, since it uses less digits than its factorization.

10242150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132581 (or 132573 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10242150240 its reverse (4205124201), we get a palindrome (14447274441).

The spelling of 10242150240 in words is "ten billion, two hundred forty-two million, one hundred fifty thousand, two hundred forty".