2213241408 has 210 divisors, whose sum is σ = 7632758166. Its totient is φ = 632282112.

The previous prime is 2213241367. The next prime is 2213241431. The reversal of 2213241408 is 8041423122.

2213241408 is a `hidden beast` number, since 2 + 2 + 13 + 241 + 408 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2196984384 + 16257024 = 46872^2 + 4032^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 249660 + ... + 258372.

Almost surely, 2^2213241408 is an apocalyptic number.

2213241408 is a gapful number since it is divisible by the number (28) 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 2213241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816379083).

2213241408 is an abundant number, since it is smaller than the sum of its proper divisors (5419516758).

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

2213241408 is an equidigital number, since it uses as much as digits as its factorization.

2213241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2213241408 is about 47045.0997235631. The cubic root of 2213241408 is about 1303.1955719557.

The spelling of 2213241408 in words is "two billion, two hundred thirteen million, two hundred forty-one thousand, four hundred eight".