2685436012900 has 243 divisors, whose sum is σ = 6191780472171. Its totient is φ = 1010925982080.

The previous prime is 2685436012877. The next prime is 2685436012927. The reversal of 2685436012900 is 92106345862.

The square root of 2685436012900 is 1638730.

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

It can be written as a sum of positive squares in 4 ways, for example, as 254930068836 + 2430505944064 = 504906^2 + 1559008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26072194249 + ... + 26072194351.

Almost surely, 2^{2685436012900} is an apocalyptic number.

2685436012900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2685436012900 is the 1638730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2685436012900

2685436012900 is an abundant number, since it is smaller than the sum of its proper divisors (3506344459271).

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

2685436012900 is a wasteful number, since it uses less digits than its factorization.

2685436012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 2685436012900 in words is "two trillion, six hundred eighty-five billion, four hundred thirty-six million, twelve thousand, nine hundred".