2585401344 has 288 divisors, whose sum is σ = 8156453760. Its totient is φ = 785645568.

The previous prime is 2585401339. The next prime is 2585401349. The reversal of 2585401344 is 4431045852.

It is a happy number.

2585401344 is a `hidden beast` number, since 2 + 585 + 40 + 1 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2585401339) and next prime (2585401349).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2585401299 and 2585401308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585401349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11593617 + ... + 11593839.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 2^2585401344 is an apocalyptic number.

2585401344 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 2585401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078226880).

2585401344 is an abundant number, since it is smaller than the sum of its proper divisors (5571052416).

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

2585401344 is a wasteful number, since it uses less digits than its factorization.

2585401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2585401344 is about 50846.8420258328. The cubic root of 2585401344 is about 1372.4904252470.

The spelling of 2585401344 in words is "two billion, five hundred eighty-five million, four hundred one thousand, three hundred forty-four".