2185488684960 has 384 divisors, whose sum is σ = 8086657420800. Its totient is φ = 485826232320.

The previous prime is 2185488684949. The next prime is 2185488684971. The reversal of 2185488684960 is 694868845812.

It is an interprime number because it is at equal distance from previous prime (2185488684949) and next prime (2185488684971).

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18181536 + ... + 18301344.

It is an arithmetic number, because the mean of its divisors is an integer number (21059003700).

Almost surely, 2^{2185488684960} is an apocalyptic number.

2185488684960 is a gapful number since it is divisible by the number (20) 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 2185488684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043328710400).

2185488684960 is an abundant number, since it is smaller than the sum of its proper divisors (5901168735840).

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

2185488684960 is a wasteful number, since it uses less digits than its factorization.

2185488684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119984 (or 119976 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 69.

The spelling of 2185488684960 in words is "two trillion, one hundred eighty-five billion, four hundred eighty-eight million, six hundred eighty-four thousand, nine hundred sixty".