2585405144 has 32 divisors (see below), whose sum is σ = 5602413600. Its totient is φ = 1095578880.

The previous prime is 2585405131. The next prime is 2585405149. The reversal of 2585405144 is 4415045852.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2585405098 and 2585405107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585405149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254387 + ... + 264354.

It is an arithmetic number, because the mean of its divisors is an integer number (175075425).

Almost surely, 2^2585405144 is an apocalyptic number.

It is an amenable number.

2585405144 is an abundant number, since it is smaller than the sum of its proper divisors (3017008456).

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

2585405144 is a wasteful number, since it uses less digits than its factorization.

2585405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518843 (or 518839 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

The square root of 2585405144 is about 50846.8793929382. The cubic root of 2585405144 is about 1372.4910976714.

The spelling of 2585405144 in words is "two billion, five hundred eighty-five million, four hundred five thousand, one hundred forty-four".