10514304240 has 80 divisors (see below), whose sum is σ = 35557474176. Its totient is φ = 2548921600.

The previous prime is 10514304179. The next prime is 10514304271. The reversal of 10514304240 is 4240341501.

10514304240 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 (80).

It is a super-2 number, since 2×10514304240² (a number of 21 digits) contains 22 as substring.

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 10514304240.

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 15 ways as a sum of consecutive naturals, for example, 1988706 + ... + 1993985.

Almost surely, 2^10514304240 is an apocalyptic number.

10514304240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10514304240 is an abundant number, since it is smaller than the sum of its proper divisors (25043169936).

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

10514304240 is a wasteful number, since it uses less digits than its factorization.

10514304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982718 (or 3982712 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10514304240 its reverse (4240341501), we get a palindrome (14754645741).

The spelling of 10514304240 in words is "ten billion, five hundred fourteen million, three hundred four thousand, two hundred forty".