2685172913280 has 2880 divisors, whose sum is σ = 12165873489000. Its totient is φ = 561736581120.

The previous prime is 2685172913279. The next prime is 2685172913309. The reversal of 2685172913280 is 823192715862.

2685172913280 is a `hidden beast` number, since 2 + 6 + 8 + 517 + 2 + 91 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 51667108416 + 2633505804864 = 227304^2 + 1622808^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 18021294646 + ... + 18021294794.

Almost surely, 2^{2685172913280} is an apocalyptic number.

2685172913280 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 2685172913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082936744500).

2685172913280 is an abundant number, since it is smaller than the sum of its proper divisors (9480700575720).

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

2685172913280 is a wasteful number, since it uses less digits than its factorization.

2685172913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2685172913280 in words is "two trillion, six hundred eighty-five billion, one hundred seventy-two million, nine hundred thirteen thousand, two hundred eighty".