2588904980480 has 816 divisors, whose sum is σ = 7932458862720. Its totient is φ = 803821584384.

The previous prime is 2588904980419. The next prime is 2588904980489. The reversal of 2588904980480 is 840894098852.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (2588904980489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16489840562 + ... + 16489840718.

Almost surely, 2^{2588904980480} is an apocalyptic number.

2588904980480 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 2588904980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966229431360).

2588904980480 is an abundant number, since it is smaller than the sum of its proper divisors (5343553882240).

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

2588904980480 is an equidigital number, since it uses as much as digits as its factorization.

2588904980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 65.

The spelling of 2588904980480 in words is "two trillion, five hundred eighty-eight billion, nine hundred four million, nine hundred eighty thousand, four hundred eighty".