2752423340928 has 256 divisors, whose sum is σ = 7580418048000. Its totient is φ = 884290764800.

The previous prime is 2752423340903. The next prime is 2752423340957. The reversal of 2752423340928 is 8290433242572.

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 31 ways as a sum of consecutive naturals, for example, 448055425 + ... + 448061567.

It is an arithmetic number, because the mean of its divisors is an integer number (29611008000).

Almost surely, 2^{2752423340928} 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 2752423340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790209024000).

2752423340928 is an abundant number, since it is smaller than the sum of its proper divisors (4827994707072).

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

2752423340928 is a wasteful number, since it uses less digits than its factorization.

2752423340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 2752423340928 in words is "two trillion, seven hundred fifty-two billion, four hundred twenty-three million, three hundred forty thousand, nine hundred twenty-eight".