2185674120 has 384 divisors, whose sum is σ = 8626176000. Its totient is φ = 468840960.

The previous prime is 2185674089. The next prime is 2185674121. The reversal of 2185674120 is 214765812.

2185674120 is a `hidden beast` number, since 2 + 185 + 67 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2185674121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9144961 + ... + 9145199.

It is an arithmetic number, because the mean of its divisors is an integer number (22464000).

Almost surely, 2^2185674120 is an apocalyptic number.

2185674120 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 2185674120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313088000).

2185674120 is an abundant number, since it is smaller than the sum of its proper divisors (6440501880).

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

2185674120 is a wasteful number, since it uses less digits than its factorization.

2185674120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2185674120 is about 46751.1937815496. The cubic root of 2185674120 is about 1297.7622488833.

The spelling of 2185674120 in words is "two billion, one hundred eighty-five million, six hundred seventy-four thousand, one hundred twenty".