2252306304 has 256 divisors, whose sum is σ = 6891609600. Its totient is φ = 723824640.

The previous prime is 2252306293. The next prime is 2252306311. The reversal of 2252306304 is 4036032522.

2252306304 is a `hidden beast` number, since 2 + 2 + 5 + 23 + 0 + 630 + 4 = 666.

2252306304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16440124 + ... + 16440260.

It is an arithmetic number, because the mean of its divisors is an integer number (26920350).

Almost surely, 2^2252306304 is an apocalyptic number.

2252306304 is a gapful number since it is divisible by the number (24) 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 2252306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445804800).

2252306304 is an abundant number, since it is smaller than the sum of its proper divisors (4639303296).

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

2252306304 is a wasteful number, since it uses less digits than its factorization.

2252306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2252306304 is about 47458.4692547073. The cubic root of 2252306304 is about 1310.8182646879.

Adding to 2252306304 its reverse (4036032522), we get a palindrome (6288338826).

The spelling of 2252306304 in words is "two billion, two hundred fifty-two million, three hundred six thousand, three hundred four".