2685795840000 has 3120 divisors, whose sum is σ = 12660257295840. Its totient is φ = 557383680000.

The previous prime is 2685795839981. The next prime is 2685795840023. The reversal of 2685795840000 is 485975862.

2685795840000 is a `hidden beast` number, since 2 + 6 + 8 + 57 + 9 + 584 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×2685795840000² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44029439970 + ... + 44029440030.

Almost surely, 2^{2685795840000} is an apocalyptic number.

2685795840000 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 2685795840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330128647920).

2685795840000 is an abundant number, since it is smaller than the sum of its proper divisors (9974461455840).

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

2685795840000 is an equidigital number, since it uses as much as digits as its factorization.

2685795840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2685795840000 in words is "two trillion, six hundred eighty-five billion, seven hundred ninety-five million, eight hundred forty thousand".