2587549050240 has 512 divisors, whose sum is σ = 10288311828480. Its totient is φ = 537394176000.

The previous prime is 2587549050239. The next prime is 2587549050241. The reversal of 2587549050240 is 420509457852.

It is an interprime number because it is at equal distance from previous prime (2587549050239) and next prime (2587549050241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587549050241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412618305 + ... + 412624575.

It is an arithmetic number, because the mean of its divisors is an integer number (20094359040).

Almost surely, 2^{2587549050240} is an apocalyptic number.

2587549050240 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 2587549050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144155914240).

2587549050240 is an abundant number, since it is smaller than the sum of its proper divisors (7700762778240).

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

2587549050240 is a wasteful number, since it uses less digits than its factorization.

2587549050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 2587549050240 in words is "two trillion, five hundred eighty-seven billion, five hundred forty-nine million, fifty thousand, two hundred forty".