2687280221808 has 1280 divisors, whose sum is σ = 10240091258880. Its totient is φ = 655722086400.

The previous prime is 2687280221789. The next prime is 2687280221863. The reversal of 2687280221808 is 8081220827862.

2687280221808 is a `hidden beast` number, since 2 + 68 + 7 + 280 + 221 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2750542216 + ... + 2750543192.

It is an arithmetic number, because the mean of its divisors is an integer number (8000071296).

Almost surely, 2^{2687280221808} is an apocalyptic number.

2687280221808 is a gapful number since it is divisible by the number (28) 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 2687280221808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120045629440).

2687280221808 is an abundant number, since it is smaller than the sum of its proper divisors (7552811037072).

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

2687280221808 is a wasteful number, since it uses less digits than its factorization.

2687280221808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 2687280221808 in words is "two trillion, six hundred eighty-seven billion, two hundred eighty million, two hundred twenty-one thousand, eight hundred eight".