2588681420496 has 80 divisors (see below), whose sum is σ = 7552285581120. Its totient is φ = 848747998080.

The previous prime is 2588681420467. The next prime is 2588681420503. The reversal of 2588681420496 is 6940241868852.

2588681420496 is a `hidden beast` number, since 2 + 5 + 88 + 68 + 1 + 4 + 2 + 0 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49091010 + ... + 49143713.

It is an arithmetic number, because the mean of its divisors is an integer number (94403569764).

Almost surely, 2^{2588681420496} is an apocalyptic number.

It is an amenable number.

2588681420496 is an abundant number, since it is smaller than the sum of its proper divisors (4963604160624).

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

2588681420496 is a wasteful number, since it uses less digits than its factorization.

2588681420496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98234801 (or 98234789 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 2588681420496 in words is "two trillion, five hundred eighty-eight billion, six hundred eighty-one million, four hundred twenty thousand, four hundred ninety-six".