2588785920 has 864 divisors, whose sum is σ = 11249521920. Its totient is φ = 557383680.

The previous prime is 2588785873. The next prime is 2588785921. The reversal of 2588785920 is 295878852.

2588785920 is a `hidden beast` number, since 2 + 588 + 7 + 8 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588785921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63141100 + ... + 63141140.

It is an arithmetic number, because the mean of its divisors is an integer number (13020280).

Almost surely, 2^2588785920 is an apocalyptic number.

2588785920 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 2588785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624760960).

2588785920 is an abundant number, since it is smaller than the sum of its proper divisors (8660736000).

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

2588785920 is an equidigital number, since it uses as much as digits as its factorization.

2588785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 2588785920 is about 50880.1132074212. The cubic root of 2588785920 is about 1373.0890779562.

The spelling of 2588785920 in words is "two billion, five hundred eighty-eight million, seven hundred eighty-five thousand, nine hundred twenty".