2686241760 has 384 divisors, whose sum is σ = 9364045824. Its totient is φ = 645089280.

The previous prime is 2686241749. The next prime is 2686241837. The reversal of 2686241760 is 671426862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16085197 + ... + 16085363.

It is an arithmetic number, because the mean of its divisors is an integer number (24385536).

Almost surely, 2^2686241760 is an apocalyptic number.

2686241760 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 2686241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682022912).

2686241760 is an abundant number, since it is smaller than the sum of its proper divisors (6677804064).

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

2686241760 is a wasteful number, since it uses less digits than its factorization.

2686241760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2686241760 is about 51828.9664184035. The cubic root of 2686241760 is about 1390.1074326501.

The spelling of 2686241760 in words is "two billion, six hundred eighty-six million, two hundred forty-one thousand, seven hundred sixty".