2681664410880 has 1296 divisors, whose sum is σ = 11789338264704. Its totient is φ = 557724303360.

The previous prime is 2681664410807. The next prime is 2681664410911. The reversal of 2681664410880 is 880144661862.

It is a happy number.

2681664410880 is a `hidden beast` number, since 2 + 68 + 1 + 66 + 441 + 0 + 8 + 80 = 666.

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 143 ways as a sum of consecutive naturals, for example, 521012467 + ... + 521017613.

It is an arithmetic number, because the mean of its divisors is an integer number (9096711624).

Almost surely, 2^{2681664410880} is an apocalyptic number.

2681664410880 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 2681664410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894669132352).

2681664410880 is an abundant number, since it is smaller than the sum of its proper divisors (9107673853824).

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

2681664410880 is a wasteful number, since it uses less digits than its factorization.

2681664410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 2681664410880 in words is "two trillion, six hundred eighty-one billion, six hundred sixty-four million, four hundred ten thousand, eight hundred eighty".