2213252160 has 448 divisors, whose sum is σ = 8541227520. Its totient is φ = 474808320.

The previous prime is 2213252147. The next prime is 2213252177. The reversal of 2213252160 is 612523122.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2213252160.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7989942 + ... + 7990218.

It is an arithmetic number, because the mean of its divisors is an integer number (19065240).

Almost surely, 2^2213252160 is an apocalyptic number.

2213252160 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 2213252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270613760).

2213252160 is an abundant number, since it is smaller than the sum of its proper divisors (6327975360).

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

2213252160 is a wasteful number, since it uses less digits than its factorization.

2213252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2213252160 is about 47045.2139967500. The cubic root of 2213252160 is about 1303.1976822747.

Adding to 2213252160 its reverse (612523122), we get a palindrome (2825775282).

The spelling of 2213252160 in words is "two billion, two hundred thirteen million, two hundred fifty-two thousand, one hundred sixty".