1282257280 has 64 divisors (see below), whose sum is σ = 3070220400. Its totient is φ = 512096256.

The previous prime is 1282257269. The next prime is 1282257281. The reversal of 1282257280 is 827522821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1282257280² = 3288367464225996800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282257281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563986 + ... + 566254.

Almost surely, 2^1282257280 is an apocalyptic number.

1282257280 is a gapful number since it is divisible by the number (10) 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 1282257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535110200).

1282257280 is an abundant number, since it is smaller than the sum of its proper divisors (1787963120).

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

1282257280 is an equidigital number, since it uses as much as digits as its factorization.

1282257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 1282257280 is about 35808.6201912333. The cubic root of 1282257280 is about 1086.4049218827.

The spelling of 1282257280 in words is "one billion, two hundred eighty-two million, two hundred fifty-seven thousand, two hundred eighty".