2113416360 has 320 divisors, whose sum is σ = 8159659200. Its totient is φ = 485222400.

The previous prime is 2113416343. The next prime is 2113416367. The reversal of 2113416360 is 636143112.

2113416360 is a `hidden beast` number, since 21 + 1 + 3 + 4 + 1 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2113416367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 675600 + ... + 678720.

It is an arithmetic number, because the mean of its divisors is an integer number (25498935).

Almost surely, 2^2113416360 is an apocalyptic number.

2113416360 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 2113416360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079829600).

2113416360 is an abundant number, since it is smaller than the sum of its proper divisors (6046242840).

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

2113416360 is a wasteful number, since it uses less digits than its factorization.

2113416360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2113416360 is about 45971.9083789220. The cubic root of 2113416360 is about 1283.3004749369.

Adding to 2113416360 its reverse (636143112), we get a palindrome (2749559472).

The spelling of 2113416360 in words is "two billion, one hundred thirteen million, four hundred sixteen thousand, three hundred sixty".