2254307328 has 432 divisors, whose sum is σ = 8367604560. Its totient is φ = 594542592.

The previous prime is 2254307317. The next prime is 2254307333. The reversal of 2254307328 is 8237034522.

2254307328 is a `hidden beast` number, since 2 + 25 + 4 + 307 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 2254307292 and 2254307301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173408250 + ... + 173408262.

It is an arithmetic number, because the mean of its divisors is an integer number (19369455).

Almost surely, 2^2254307328 is an apocalyptic number.

2254307328 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 2254307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183802280).

2254307328 is an abundant number, since it is smaller than the sum of its proper divisors (6113297232).

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

2254307328 is an frugal number, since it uses more digits than its factorization.

2254307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2254307328 is about 47479.5464173785. The cubic root of 2254307328 is about 1311.2063413311.

The spelling of 2254307328 in words is "two billion, two hundred fifty-four million, three hundred seven thousand, three hundred twenty-eight".