10584426240 has 108 divisors (see below), whose sum is σ = 36621052104. Its totient is φ = 2822510592.

The previous prime is 10584426239. The next prime is 10584426247. The reversal of 10584426240 is 4262448501.

10584426240 is a `hidden beast` number, since 10 + 584 + 4 + 2 + 62 + 4 + 0 = 666.

It is a super-2 number, since 2×10584426240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10584426195 and 10584426204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10584426247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447874 + ... + 470913.

Almost surely, 2^10584426240 is an apocalyptic number.

10584426240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10584426240 is an abundant number, since it is smaller than the sum of its proper divisors (26036625864).

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

10584426240 is an equidigital number, since it uses as much as digits as its factorization.

10584426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918814 (or 918797 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10584426240 in words is "ten billion, five hundred eighty-four million, four hundred twenty-six thousand, two hundred forty".