2587688544 has 144 divisors (see below), whose sum is σ = 8023567104. Its totient is φ = 715311360.

The previous prime is 2587688533. The next prime is 2587688567. The reversal of 2587688544 is 4458867852.

It is a super-2 number, since 2×2587688544² = 13392264001497679872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643789 + ... + 647795.

It is an arithmetic number, because the mean of its divisors is an integer number (55719216).

Almost surely, 2^2587688544 is an apocalyptic number.

2587688544 is a gapful number since it is divisible by the number (24) 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 2587688544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011783552).

2587688544 is an abundant number, since it is smaller than the sum of its proper divisors (5435878560).

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

2587688544 is a wasteful number, since it uses less digits than its factorization.

2587688544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4050 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 57.

The square root of 2587688544 is about 50869.3281260919. The cubic root of 2587688544 is about 1372.8950348790.

The spelling of 2587688544 in words is "two billion, five hundred eighty-seven million, six hundred eighty-eight thousand, five hundred forty-four".