2685993210000 has 525 divisors, whose sum is σ = 9766216256511. Its totient is φ = 715084848000.

The previous prime is 2685993209929. The next prime is 2685993210007. The reversal of 2685993210000 is 123995862.

The square root of 2685993210000 is 1638900.

It is a perfect power (a square), and thus also a powerful number.

2685993210000 is a `hidden beast` number, since 26 + 8 + 599 + 32 + 1 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 210581867664 + 2475411342336 = 458892^2 + 1573344^2 .

It is a super-2 number, since 2×2685993210000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2685993210007) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 4425029697 + ... + 4425030303.

Almost surely, 2^{2685993210000} is an apocalyptic number.

2685993210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2685993210000 is the 1638900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2685993210000

2685993210000 is an abundant number, since it is smaller than the sum of its proper divisors (7080223046511).

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

2685993210000 is an frugal number, since it uses more digits than its factorization.

2685993210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2685993210000 in words is "two trillion, six hundred eighty-five billion, nine hundred ninety-three million, two hundred ten thousand".