2183685952900 has 27 divisors (see below), whose sum is σ = 4738630584751. Its totient is φ = 873468470240.

The previous prime is 2183685952867. The next prime is 2183685952901. The reversal of 2183685952900 is 92595863812.

The square root of 2183685952900 is 1477730.

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 361963469956 + 1821722482944 = 601634^2 + 1349712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2183685952901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14703414 + ... + 14851186.

Almost surely, 2^{2183685952900} is an apocalyptic number.

2183685952900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2183685952900 is the 1477730-th square number.

It is an amenable number.

2183685952900 is an abundant number, since it is smaller than the sum of its proper divisors (2554944631851).

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

2183685952900 is an frugal number, since it uses more digits than its factorization.

2183685952900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295560 (or 147780 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 2183685952900 in words is "two trillion, one hundred eighty-three billion, six hundred eighty-five million, nine hundred fifty-two thousand, nine hundred".