2487564 has 48 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 801360.

The previous prime is 2487557. The next prime is 2487571. The reversal of 2487564 is 4657842.

2487564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2487557) and next prime (2487571).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2977 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

2^2487564 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 2487564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2487564 is an abundant number, since it is smaller than the sum of its proper divisors (4178676).

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

2487564 is a wasteful number, since it uses less digits than its factorization.

2487564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2487564 is about 1577.2013187922. The cubic root of 2487564 is about 135.4954633267.

The spelling of 2487564 in words is "two million, four hundred eighty-seven thousand, five hundred sixty-four".