2588787764640 has 576 divisors, whose sum is σ = 11498262491520. Its totient is φ = 537929441280.

The previous prime is 2588787764623. The next prime is 2588787764669. The reversal of 2588787764640 is 464677878852.

2588787764640 is a `hidden beast` number, since 2 + 5 + 8 + 87 + 87 + 7 + 6 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1772584 + ... + 2884376.

It is an arithmetic number, because the mean of its divisors is an integer number (19962261270).

Almost surely, 2^{2588787764640} is an apocalyptic number.

2588787764640 is a gapful number since it is divisible by the number (20) 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 2588787764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749131245760).

2588787764640 is an abundant number, since it is smaller than the sum of its proper divisors (8909474726880).

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

2588787764640 is a wasteful number, since it uses less digits than its factorization.

2588787764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111842 (or 1111821 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 2588787764640 in words is "two trillion, five hundred eighty-eight billion, seven hundred eighty-seven million, seven hundred sixty-four thousand, six hundred forty".