2402100224 has 66 divisors (see below), whose sum is σ = 4963782582. Its totient is φ = 1161830400.

The previous prime is 2402100223. The next prime is 2402100227. The reversal of 2402100224 is 4220012042.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1574502400 + 827597824 = 39680^2 + 28768^2 .

It is a super-2 number, since 2×2402100224² = 11540170972281700352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2402100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 982844 + ... + 985284.

It is an arithmetic number, because the mean of its divisors is an integer number (75208827).

Almost surely, 2^2402100224 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 2402100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481891291).

2402100224 is an abundant number, since it is smaller than the sum of its proper divisors (2561682358).

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

2402100224 is an equidigital number, since it uses as much as digits as its factorization.

2402100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2402100224 is about 49011.2254896774. The cubic root of 2402100224 is about 1339.2563305066.

Adding to 2402100224 its reverse (4220012042), we get a palindrome (6622112266).

The spelling of 2402100224 in words is "two billion, four hundred two million, one hundred thousand, two hundred twenty-four".