2185480320 has 256 divisors, whose sum is σ = 7402752000. Its totient is φ = 546877440.

The previous prime is 2185480267. The next prime is 2185480321. The reversal of 2185480320 is 230845812.

It is not an unprimeable number, because it can be changed into a prime (2185480321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5070505 + ... + 5070935.

It is an arithmetic number, because the mean of its divisors is an integer number (28917000).

Almost surely, 2^2185480320 is an apocalyptic number.

2185480320 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 2185480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

2185480320 is an abundant number, since it is smaller than the sum of its proper divisors (5217271680).

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

2185480320 is a wasteful number, since it uses less digits than its factorization.

2185480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2185480320 is about 46749.1210612563. The cubic root of 2185480320 is about 1297.7238909605.

The spelling of 2185480320 in words is "two billion, one hundred eighty-five million, four hundred eighty thousand, three hundred twenty".