2587103840 has 96 divisors (see below), whose sum is σ = 6555517920. Its totient is φ = 961818624.

The previous prime is 2587103777. The next prime is 2587103863. The reversal of 2587103840 is 483017852.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2587103794 and 2587103803.

It is a congruent number.

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, 153092 + ... + 169148.

It is an arithmetic number, because the mean of its divisors is an integer number (68286645).

Almost surely, 2^2587103840 is an apocalyptic number.

2587103840 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 2587103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277758960).

2587103840 is an abundant number, since it is smaller than the sum of its proper divisors (3968414080).

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

2587103840 is a wasteful number, since it uses less digits than its factorization.

2587103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16144 (or 16136 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 2587103840 is about 50863.5806840218. The cubic root of 2587103840 is about 1372.7916224225.

The spelling of 2587103840 in words is "two billion, five hundred eighty-seven million, one hundred three thousand, eight hundred forty".