2585451960 has 768 divisors, whose sum is σ = 11154124800. Its totient is φ = 524040192.

The previous prime is 2585451949. The next prime is 2585451983. The reversal of 2585451960 is 691545852.

2585451960 is a `hidden beast` number, since 2 + 585 + 4 + 5 + 1 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32727201 + ... + 32727279.

It is an arithmetic number, because the mean of its divisors is an integer number (14523600).

Almost surely, 2^2585451960 is an apocalyptic number.

2585451960 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 2585451960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577062400).

2585451960 is an abundant number, since it is smaller than the sum of its proper divisors (8568672840).

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

2585451960 is a wasteful number, since it uses less digits than its factorization.

2585451960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 2585451960 is about 50847.3397534227. The cubic root of 2585451960 is about 1372.4993818863.

The spelling of 2585451960 in words is "two billion, five hundred eighty-five million, four hundred fifty-one thousand, nine hundred sixty".