2257528320 has 480 divisors, whose sum is σ = 8579450880. Its totient is φ = 567336960.

The previous prime is 2257528313. The next prime is 2257528331. The reversal of 2257528320 is 238257522.

It is a happy number.

2257528320 is a `hidden beast` number, since 2 + 2 + 575 + 2 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11819425 + ... + 11819615.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^2257528320 is an apocalyptic number.

2257528320 is a gapful number since it is divisible by the number (20) 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 2257528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2257528320 is an abundant number, since it is smaller than the sum of its proper divisors (6321922560).

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

2257528320 is an equidigital number, since it uses as much as digits as its factorization.

2257528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2257528320 is about 47513.4540946036. The cubic root of 2257528320 is about 1311.8305353200.

The spelling of 2257528320 in words is "two billion, two hundred fifty-seven million, five hundred twenty-eight thousand, three hundred twenty".