2585477664 has 288 divisors, whose sum is σ = 9475643520. Its totient is φ = 671362560.

The previous prime is 2585477659. The next prime is 2585477669. The reversal of 2585477664 is 4667745852.

It is a happy number.

2585477664 is a `hidden beast` number, since 25 + 8 + 547 + 76 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2585477659) and next prime (2585477669).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2585477664.

It is not an unprimeable number, because it can be changed into a prime (2585477669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730042 + ... + 733574.

It is an arithmetic number, because the mean of its divisors is an integer number (32901540).

Almost surely, 2^2585477664 is an apocalyptic number.

2585477664 is a gapful number since it is divisible by the number (24) 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 2585477664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737821760).

2585477664 is an abundant number, since it is smaller than the sum of its proper divisors (6890165856).

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

2585477664 is a wasteful number, since it uses less digits than its factorization.

2585477664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3556 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 2585477664 is about 50847.5925093804. The cubic root of 2585477664 is about 1372.5039302345.

It can be divided in two parts, 2585 and 477664, that added together give a square (480249 = 693²).

The spelling of 2585477664 in words is "two billion, five hundred eighty-five million, four hundred seventy-seven thousand, six hundred sixty-four".