2687216480 has 48 divisors (see below), whose sum is σ = 6836904144. Its totient is φ = 992202240.

The previous prime is 2687216459. The next prime is 2687216507. The reversal of 2687216480 is 846127862.

It is a super-3 number, since 3×2687216480³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 643886 + ... + 648045.

It is an arithmetic number, because the mean of its divisors is an integer number (142435503).

Almost surely, 2^2687216480 is an apocalyptic number.

2687216480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2687216480 is an abundant number, since it is smaller than the sum of its proper divisors (4149687664).

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

2687216480 is a wasteful number, since it uses less digits than its factorization.

2687216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291959 (or 1291951 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2687216480 is about 51838.3688014968. The cubic root of 2687216480 is about 1390.2755487747.

The spelling of 2687216480 in words is "two billion, six hundred eighty-seven million, two hundred sixteen thousand, four hundred eighty".