2252543328 has 432 divisors, whose sum is σ = 8126576640. Its totient is φ = 587865600.

The previous prime is 2252543327. The next prime is 2252543329. The reversal of 2252543328 is 8233452522.

It is an interprime number because it is at equal distance from previous prime (2252543327) and next prime (2252543329).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2252543292 and 2252543301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252543327) 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 71 ways as a sum of consecutive naturals, for example, 8311833 + ... + 8312103.

It is an arithmetic number, because the mean of its divisors is an integer number (18811520).

Almost surely, 2^2252543328 is an apocalyptic number.

2252543328 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 2252543328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063288320).

2252543328 is an abundant number, since it is smaller than the sum of its proper divisors (5874033312).

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

2252543328 is a wasteful number, since it uses less digits than its factorization.

2252543328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2252543328 is about 47460.9663618431. The cubic root of 2252543328 is about 1310.8642448890.

The spelling of 2252543328 in words is "two billion, two hundred fifty-two million, five hundred forty-three thousand, three hundred twenty-eight".