2587697967744 has 256 divisors, whose sum is σ = 7853867481600. Its totient is φ = 838167367680.

The previous prime is 2587697967719. The next prime is 2587697967749. The reversal of 2587697967744 is 4477697967852.

It is not an unprimeable number, because it can be changed into a prime (2587697967749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101901289 + ... + 101926679.

It is an arithmetic number, because the mean of its divisors is an integer number (30679169850).

Almost surely, 2^{2587697967744} is an apocalyptic number.

2587697967744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587697967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926933740800).

2587697967744 is an abundant number, since it is smaller than the sum of its proper divisors (5266169513856).

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

2587697967744 is a wasteful number, since it uses less digits than its factorization.

2587697967744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26248 (or 26230 counting only the distinct ones).

The product of its digits is 8961684480, while the sum is 81.

The spelling of 2587697967744 in words is "two trillion, five hundred eighty-seven billion, six hundred ninety-seven million, nine hundred sixty-seven thousand, seven hundred forty-four".