2585681320 has 64 divisors (see below), whose sum is σ = 5941466640. Its totient is φ = 1012377600.

The previous prime is 2585681303. The next prime is 2585681333. The reversal of 2585681320 is 231865852.

2585681320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1320740964 + 1264940356 = 36342^2 + 35566^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1103350 + ... + 1105690.

Almost surely, 2^2585681320 is an apocalyptic number.

2585681320 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 2585681320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970733320).

2585681320 is an abundant number, since it is smaller than the sum of its proper divisors (3355785320).

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

2585681320 is a wasteful number, since it uses less digits than its factorization.

2585681320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 2585681320 is about 50849.5950819670. The cubic root of 2585681320 is about 1372.5399662993.

The spelling of 2585681320 in words is "two billion, five hundred eighty-five million, six hundred eighty-one thousand, three hundred twenty".