2185932680100 has 729 divisors, whose sum is σ = 7916881179753. Its totient is φ = 504153262080.

The previous prime is 2185932680027. The next prime is 2185932680131. The reversal of 2185932680100 is 10862395812.

The square root of 2185932680100 is 1478490.

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

2185932680100 is a `hidden beast` number, since 21 + 8 + 593 + 26 + 8 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1591972686756 + 593959993344 = 1261734^2 + 770688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9802388589 + ... + 9802388811.

Almost surely, 2^{2185932680100} is an apocalyptic number.

2185932680100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2185932680100 is the 1478490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185932680100

2185932680100 is an abundant number, since it is smaller than the sum of its proper divisors (5730948499653).

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

2185932680100 is a wasteful number, since it uses less digits than its factorization.

2185932680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2185932680100 in words is "two trillion, one hundred eighty-five billion, nine hundred thirty-two million, six hundred eighty thousand, one hundred".