2588520 has 128 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 599040.

The previous prime is 2588513. The next prime is 2588527. The reversal of 2588520 is 258852.

It is an interprime number because it is at equal distance from previous prime (2588513) and next prime (2588527).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (2588527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48814 + ... + 48866.

It is an arithmetic number, because the mean of its divisors is an integer number (69255).

2^2588520 is an apocalyptic number.

2588520 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 2588520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

2588520 is an abundant number, since it is smaller than the sum of its proper divisors (6276120).

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

2588520 is a wasteful number, since it uses less digits than its factorization.

2588520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2588520 is about 1608.8878146098. The cubic root of 2588520 is about 137.3042061792.

It can be divided in two parts, 258 and 8520, that added together give a palindrome (8778).

The spelling of 2588520 in words is "two million, five hundred eighty-eight thousand, five hundred twenty".