2185651104 has 192 divisors, whose sum is σ = 7477214976. Its totient is φ = 542490624.

The previous prime is 2185651067. The next prime is 2185651109. The reversal of 2185651104 is 4011565812.

It is not an unprimeable number, because it can be changed into a prime (2185651109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 141154 + ... + 155870.

It is an arithmetic number, because the mean of its divisors is an integer number (38943828).

Almost surely, 2^2185651104 is an apocalyptic number.

2185651104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185651104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738607488).

2185651104 is an abundant number, since it is smaller than the sum of its proper divisors (5291563872).

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

2185651104 is a wasteful number, since it uses less digits than its factorization.

2185651104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14767 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 2185651104 is about 46750.9476267594. The cubic root of 2185651104 is about 1297.7576935533.

The spelling of 2185651104 in words is "two billion, one hundred eighty-five million, six hundred fifty-one thousand, one hundred four".