24382252672 has 64 divisors (see below), whose sum is σ = 49000392000. Its totient is φ = 12084480000.

The previous prime is 24382252627. The next prime is 24382252681. The reversal of 24382252672 is 27625228342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×24382252672² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11615079 + ... + 11617177.

It is an arithmetic number, because the mean of its divisors is an integer number (765631125).

Almost surely, 2^24382252672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24382252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500196000).

24382252672 is an abundant number, since it is smaller than the sum of its proper divisors (24618139328).

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

24382252672 is a wasteful number, since it uses less digits than its factorization.

24382252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2853 counting only the distinct ones).

The product of its digits is 645120, while the sum is 43.

The spelling of 24382252672 in words is "twenty-four billion, three hundred eighty-two million, two hundred fifty-two thousand, six hundred seventy-two".