2582398304928 has 96 divisors (see below), whose sum is σ = 8111379326400. Its totient is φ = 794584090368.

The previous prime is 2582398304923. The next prime is 2582398304939. The reversal of 2582398304928 is 8294038932852.

2582398304928 is a `hidden beast` number, since 2 + 5 + 8 + 23 + 98 + 30 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2582398304923) 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 15 ways as a sum of consecutive naturals, for example, 114945958 + ... + 114968421.

It is an arithmetic number, because the mean of its divisors is an integer number (84493534650).

Almost surely, 2^{2582398304928} is an apocalyptic number.

It is an amenable number.

2582398304928 is an abundant number, since it is smaller than the sum of its proper divisors (5528981021472).

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

2582398304928 is a wasteful number, since it uses less digits than its factorization.

2582398304928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229914411 (or 229914397 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 2582398304928 in words is "two trillion, five hundred eighty-two billion, three hundred ninety-eight million, three hundred four thousand, nine hundred twenty-eight".