2185188516 has 225 divisors, whose sum is σ = 6792315761. Its totient is φ = 612559584.

The previous prime is 2185188479. The next prime is 2185188527. The reversal of 2185188516 is 6158815812.

The square root of 2185188516 is 46746.

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

2185188516 is a `hidden beast` number, since 2 + 1 + 8 + 51 + 88 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1575296100 + 609892416 = 39690^2 + 24696^2 .

Its product of digits (153600) is a multiple of the sum of its prime factors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 41229946 + ... + 41229998.

Almost surely, 2^2185188516 is an apocalyptic number.

2185188516 is the 46746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185188516

2185188516 is an abundant number, since it is smaller than the sum of its proper divisors (4607127245).

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

2185188516 is an frugal number, since it uses more digits than its factorization.

2185188516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 65 counting only the distinct ones).

The product of its digits is 153600, while the sum is 45.

The cubic root of 2185188516 is about 1297.6661312888. Note that the first 3 decimals are identical.

The spelling of 2185188516 in words is "two billion, one hundred eighty-five million, one hundred eighty-eight thousand, five hundred sixteen".