2185961652 has 144 divisors (see below), whose sum is σ = 6744192000. Its totient is φ = 583511040.

The previous prime is 2185961641. The next prime is 2185961671. The reversal of 2185961652 is 2561695812.

2185961652 is a `hidden beast` number, since 2 + 1 + 8 + 596 + 1 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2185961598 and 2185961607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221724 + ... + 231372.

Almost surely, 2^2185961652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185961652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372096000).

2185961652 is an abundant number, since it is smaller than the sum of its proper divisors (4558230348).

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

2185961652 is a wasteful number, since it uses less digits than its factorization.

2185961652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9726 (or 9721 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2185961652 is about 46754.2688104520. The cubic root of 2185961652 is about 1297.8191545629.

The spelling of 2185961652 in words is "two billion, one hundred eighty-five million, nine hundred sixty-one thousand, six hundred fifty-two".