2678587501680 has 480 divisors, whose sum is σ = 9820351457280. Its totient is φ = 652379566080.

The previous prime is 2678587501643. The next prime is 2678587501691. The reversal of 2678587501680 is 861057858762.

2678587501680 is a `hidden beast` number, since 2 + 6 + 78 + 58 + 7 + 501 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 31869151 + ... + 31953089.

It is an arithmetic number, because the mean of its divisors is an integer number (20459065536).

Almost surely, 2^{2678587501680} is an apocalyptic number.

2678587501680 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 2678587501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910175728640).

2678587501680 is an abundant number, since it is smaller than the sum of its proper divisors (7141763955600).

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

2678587501680 is a wasteful number, since it uses less digits than its factorization.

2678587501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84069 (or 84060 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 2678587501680 in words is "two trillion, six hundred seventy-eight billion, five hundred eighty-seven million, five hundred one thousand, six hundred eighty".