2185849680 has 480 divisors, whose sum is σ = 8597544960. Its totient is φ = 448312320.

The previous prime is 2185849669. The next prime is 2185849697. The reversal of 2185849680 is 869485812.

It is a super-2 number, since 2×2185849680² = 9555877647112204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46507417 + ... + 46507463.

It is an arithmetic number, because the mean of its divisors is an integer number (17911552).

Almost surely, 2^2185849680 is an apocalyptic number.

2185849680 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 2185849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298772480).

2185849680 is an abundant number, since it is smaller than the sum of its proper divisors (6411695280).

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

2185849680 is a wasteful number, since it uses less digits than its factorization.

2185849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 2185849680 is about 46753.0713429610. The cubic root of 2185849680 is about 1297.7969946914.

The spelling of 2185849680 in words is "two billion, one hundred eighty-five million, eight hundred forty-nine thousand, six hundred eighty".