2585772 has 72 divisors (see below), whose sum is σ = 7734272. Its totient is φ = 712800.

The previous prime is 2585743. The next prime is 2585777. The reversal of 2585772 is 2775852.

2585772 is a `hidden beast` number, since 2 + 585 + 7 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2585777) 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, 7647 + ... + 7977.

2^2585772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867136).

2585772 is an abundant number, since it is smaller than the sum of its proper divisors (5148500).

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

2585772 is a wasteful number, since it uses less digits than its factorization.

2585772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 2585772 is about 1608.0335817389. The cubic root of 2585772 is about 137.2556011132.

The spelling of 2585772 in words is "two million, five hundred eighty-five thousand, seven hundred seventy-two".