2185046309160 has 1728 divisors, whose sum is σ = 8971402003200. Its totient is φ = 475566474240.

The previous prime is 2185046309077. The next prime is 2185046309167. The reversal of 2185046309160 is 619036405812.

2185046309160 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 0 + 4 + 630 + 9 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185046309167) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 27658814001 + ... + 27658814079.

Almost surely, 2^{2185046309160} is an apocalyptic number.

2185046309160 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 2185046309160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485701001600).

2185046309160 is an abundant number, since it is smaller than the sum of its proper divisors (6786355694040).

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

2185046309160 is a wasteful number, since it uses less digits than its factorization.

2185046309160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2185046309160 in words is "two trillion, one hundred eighty-five billion, forty-six million, three hundred nine thousand, one hundred sixty".