24724272420 has 36 divisors (see below), whose sum is σ = 74996960220. Its totient is φ = 6593139264.

The previous prime is 24724272379. The next prime is 24724272427. The reversal of 24724272420 is 2427242742.

It can be written as a sum of positive squares in 2 ways, for example, as 5950888164 + 18773384256 = 77142^2 + 137016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24724272420² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (24724272427) 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 11 ways as a sum of consecutive naturals, for example, 68678355 + ... + 68678714.

It is an arithmetic number, because the mean of its divisors is an integer number (2083248895).

Almost surely, 2^24724272420 is an apocalyptic number.

24724272420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24724272420 is an abundant number, since it is smaller than the sum of its proper divisors (50272687800).

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

24724272420 is a wasteful number, since it uses less digits than its factorization.

24724272420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137357084 (or 137357079 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The spelling of 24724272420 in words is "twenty-four billion, seven hundred twenty-four million, two hundred seventy-two thousand, four hundred twenty".