2253042304 has 64 divisors (see below), whose sum is σ = 4689780480. Its totient is φ = 1076889600.

The previous prime is 2253042293. The next prime is 2253042329. The reversal of 2253042304 is 4032403522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2253042304² = 10152399247227256832, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 325924 + ... + 332764.

It is an arithmetic number, because the mean of its divisors is an integer number (73277820).

Almost surely, 2^2253042304 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 2253042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344890240).

2253042304 is an abundant number, since it is smaller than the sum of its proper divisors (2436738176).

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

2253042304 is an equidigital number, since it uses as much as digits as its factorization.

2253042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2253042304 is about 47466.2227694600. Note that the first 3 decimals coincide. The cubic root of 2253042304 is about 1310.9610305235.

Adding to 2253042304 its reverse (4032403522), we get a palindrome (6285445826).

The spelling of 2253042304 in words is "two billion, two hundred fifty-three million, forty-two thousand, three hundred four".