2587145217840 has 480 divisors, whose sum is σ = 8883592413696. Its totient is φ = 674604564480.

The previous prime is 2587145217829. The next prime is 2587145217857. The reversal of 2587145217840 is 487125417852.

2587145217840 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 1 + 4 + 521 + 78 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5539925287 + ... + 5539925753.

Almost surely, 2^{2587145217840} is an apocalyptic number.

2587145217840 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 2587145217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441796206848).

2587145217840 is an abundant number, since it is smaller than the sum of its proper divisors (6296447195856).

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

2587145217840 is a wasteful number, since it uses less digits than its factorization.

2587145217840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 2587145217840 in words is "two trillion, five hundred eighty-seven billion, one hundred forty-five million, two hundred seventeen thousand, eight hundred forty".