2585520 has 240 divisors, whose sum is σ = 10832640. Its totient is φ = 559872.

The previous prime is 2585509. The next prime is 2585521. The reversal of 2585520 is 255852.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136071 + ... + 136089.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2^2585520 is an apocalyptic number.

2585520 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 2585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

2585520 is an abundant number, since it is smaller than the sum of its proper divisors (8247120).

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

2585520 is a wasteful number, since it uses less digits than its factorization.

2585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2585520 is about 1607.9552232572. The cubic root of 2585520 is about 137.2511421566.

It can be divided in two parts, 258 and 5520, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 2585520 in words is "two million, five hundred eighty-five thousand, five hundred twenty".