2687171760 has 960 divisors, whose sum is σ = 12132556800. Its totient is φ = 548674560.

The previous prime is 2687171743. The next prime is 2687171771. The reversal of 2687171760 is 671717862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86682945 + ... + 86682975.

It is an arithmetic number, because the mean of its divisors is an integer number (12638080).

Almost surely, 2^2687171760 is an apocalyptic number.

2687171760 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 2687171760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066278400).

2687171760 is an abundant number, since it is smaller than the sum of its proper divisors (9445385040).

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

2687171760 is a wasteful number, since it uses less digits than its factorization.

2687171760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 2687171760 is about 51837.9374589692. The cubic root of 2687171760 is about 1390.2678365233.

The spelling of 2687171760 in words is "two billion, six hundred eighty-seven million, one hundred seventy-one thousand, seven hundred sixty".