2587928754048 has 256 divisors, whose sum is σ = 7646487609600. Its totient is φ = 768831897600.

The previous prime is 2587928754029. The next prime is 2587928754181. The reversal of 2587928754048 is 8404578297852.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 353490228 + ... + 353497548.

It is an arithmetic number, because the mean of its divisors is an integer number (29869092225).

Almost surely, 2^{2587928754048} 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 2587928754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823243804800).

2587928754048 is an abundant number, since it is smaller than the sum of its proper divisors (5058558855552).

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

2587928754048 is a wasteful number, since it uses less digits than its factorization.

2587928754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 69.

The spelling of 2587928754048 in words is "two trillion, five hundred eighty-seven billion, nine hundred twenty-eight million, seven hundred fifty-four thousand, forty-eight".