2587836287680 has 224 divisors, whose sum is σ = 7163583848064. Its totient is φ = 872101085184.

The previous prime is 2587836287671. The next prime is 2587836287719. The reversal of 2587836287680 is 867826387852.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47884354 + ... + 47938366.

It is an arithmetic number, because the mean of its divisors is an integer number (31980285036).

Almost surely, 2^{2587836287680} is an apocalyptic number.

2587836287680 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 2587836287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581791924032).

2587836287680 is an abundant number, since it is smaller than the sum of its proper divisors (4575747560384).

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

2587836287680 is a wasteful number, since it uses less digits than its factorization.

2587836287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54403 (or 54393 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 70.

The spelling of 2587836287680 in words is "two trillion, five hundred eighty-seven billion, eight hundred thirty-six million, two hundred eighty-seven thousand, six hundred eighty".