2687221505080 has 768 divisors, whose sum is σ = 8005721702400. Its totient is φ = 791149363200.

The previous prime is 2687221505071. The next prime is 2687221505081. The reversal of 2687221505080 is 805051227862.

It is a self number, because there is not a number n which added to its sum of digits gives 2687221505080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687221505081) 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 191 ways as a sum of consecutive naturals, for example, 6234852465 + ... + 6234852895.

It is an arithmetic number, because the mean of its divisors is an integer number (10424116800).

Almost surely, 2^{2687221505080} is an apocalyptic number.

2687221505080 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 2687221505080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002860851200).

2687221505080 is an abundant number, since it is smaller than the sum of its proper divisors (5318500197320).

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

2687221505080 is a wasteful number, since it uses less digits than its factorization.

2687221505080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 2687221505080 in words is "two trillion, six hundred eighty-seven billion, two hundred twenty-one million, five hundred five thousand, eighty".