2687181018820 has 96 divisors (see below), whose sum is σ = 5939069165568. Its totient is φ = 1019309018112.

The previous prime is 2687181018817. The next prime is 2687181018829. The reversal of 2687181018820 is 288101817862.

It is not an unprimeable number, because it can be changed into a prime (2687181018829) 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 31 ways as a sum of consecutive naturals, for example, 84868432 + ... + 84900088.

It is an arithmetic number, because the mean of its divisors is an integer number (61865303808).

Almost surely, 2^{2687181018820} is an apocalyptic number.

2687181018820 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 2687181018820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969534582784).

2687181018820 is an abundant number, since it is smaller than the sum of its proper divisors (3251888146748).

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

2687181018820 is a wasteful number, since it uses less digits than its factorization.

2687181018820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33269 (or 33267 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 52.

The spelling of 2687181018820 in words is "two trillion, six hundred eighty-seven billion, one hundred eighty-one million, eighteen thousand, eight hundred twenty".