10300530240 has 1120 divisors, whose sum is σ = 49319956224. Its totient is φ = 1970749440.

The previous prime is 10300530223. The next prime is 10300530241. The reversal of 10300530240 is 4203500301.

10300530240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×10300530240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10300530241) 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 159 ways as a sum of consecutive naturals, for example, 25945722 + ... + 25946118.

Almost surely, 2^10300530240 is an apocalyptic number.

10300530240 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 10300530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24659978112).

10300530240 is an abundant number, since it is smaller than the sum of its proper divisors (39019425984).

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

10300530240 is a wasteful number, since it uses less digits than its factorization.

10300530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 10300530240 in words is "ten billion, three hundred million, five hundred thirty thousand, two hundred forty".