2257633280 has 240 divisors, whose sum is σ = 6442254336. Its totient is φ = 743178240.

The previous prime is 2257633277. The next prime is 2257633319. The reversal of 2257633280 is 823367522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17776577 + ... + 17776703.

Almost surely, 2^2257633280 is an apocalyptic number.

2257633280 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 2257633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221127168).

2257633280 is an abundant number, since it is smaller than the sum of its proper divisors (4184621056).

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

2257633280 is an equidigital number, since it uses as much as digits as its factorization.

2257633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 2257633280 is about 47514.5586110194. The cubic root of 2257633280 is about 1311.8508654598.

The spelling of 2257633280 in words is "two billion, two hundred fifty-seven million, six hundred thirty-three thousand, two hundred eighty".