2588760881280 has 1344 divisors, whose sum is σ = 11430456675480. Its totient is φ = 556826296320.

The previous prime is 2588760881251. The next prime is 2588760881351. The reversal of 2588760881280 is 821880678852.

2588760881280 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 7 + 608 + 8 + 12 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2583271849536 + 5489031744 = 1607256^2 + 74088^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 388641150 + ... + 388647810.

Almost surely, 2^{2588760881280} is an apocalyptic number.

2588760881280 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 2588760881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715228337740).

2588760881280 is an abundant number, since it is smaller than the sum of its proper divisors (8841695794200).

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

2588760881280 is an equidigital number, since it uses as much as digits as its factorization.

2588760881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 2588760881280 in words is "two trillion, five hundred eighty-eight billion, seven hundred sixty million, eight hundred eighty-one thousand, two hundred eighty".