2424332128032 has 144 divisors (see below), whose sum is σ = 7181036003232. Its totient is φ = 804550164480.

The previous prime is 2424332128021. The next prime is 2424332128073. The reversal of 2424332128032 is 2308212334242.

2424332128032 is a `hidden beast` number, since 2 + 4 + 2 + 433 + 212 + 8 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078432 + ... + 2451872.

It is an arithmetic number, because the mean of its divisors is an integer number (49868305578).

Almost surely, 2^{2424332128032} 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 2424332128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590518001616).

2424332128032 is an abundant number, since it is smaller than the sum of its proper divisors (4756703875200).

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

2424332128032 is a wasteful number, since it uses less digits than its factorization.

2424332128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373693 (or 1373673 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2424332128032 in words is "two trillion, four hundred twenty-four billion, three hundred thirty-two million, one hundred twenty-eight thousand, thirty-two".