2213941248 has 130 divisors (see below), whose sum is σ = 6614674814. Its totient is φ = 737869824.

The previous prime is 2213941243. The next prime is 2213941271. The reversal of 2213941248 is 8421493122.

2213941248 is a `hidden beast` number, since 2 + 21 + 394 + 1 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1316818944 + 897122304 = 36288^2 + 29952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2213941243) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 328440 + ... + 335112.

Almost surely, 2^2213941248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307337407).

2213941248 is an abundant number, since it is smaller than the sum of its proper divisors (4400733566).

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

2213941248 is an frugal number, since it uses more digits than its factorization.

2213941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6678 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2213941248 is about 47052.5371048151. The cubic root of 2213941248 is about 1303.3329168582.

The spelling of 2213941248 in words is "two billion, two hundred thirteen million, nine hundred forty-one thousand, two hundred forty-eight".