2506584 has 32 divisors (see below), whose sum is σ = 6359040. Its totient is φ = 823200.

The previous prime is 2506583. The next prime is 2506619. The reversal of 2506584 is 4856052.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506583) 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, 969 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (198720).

2^2506584 is an apocalyptic number.

2506584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2506584 is an abundant number, since it is smaller than the sum of its proper divisors (3852456).

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

2506584 is a wasteful number, since it uses less digits than its factorization.

2506584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2506584 is about 1583.2195046803. The cubic root of 2506584 is about 135.8399212265.

The spelling of 2506584 in words is "two million, five hundred six thousand, five hundred eighty-four".