2213491200 has 240 divisors, whose sum is σ = 7443675360. Its totient is φ = 579665920.

The previous prime is 2213491199. The next prime is 2213491223. The reversal of 2213491200 is 21943122.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 23 ways as a sum of consecutive naturals, for example, 2265112 + ... + 2266088.

It is an arithmetic number, because the mean of its divisors is an integer number (31015314).

Almost surely, 2^2213491200 is an apocalyptic number.

2213491200 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 2213491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721837680).

2213491200 is an abundant number, since it is smaller than the sum of its proper divisors (5230184160).

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

2213491200 is an equidigital number, since it uses as much as digits as its factorization.

2213491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2213491200 is about 47047.7544628859. The cubic root of 2213491200 is about 1303.2445974229.

The spelling of 2213491200 in words is "two billion, two hundred thirteen million, four hundred ninety-one thousand, two hundred".