2270257460 has 48 divisors (see below), whose sum is σ = 5015606400. Its totient is φ = 861915264.

The previous prime is 2270257439. The next prime is 2270257487. The reversal of 2270257460 is 647520722.

It is a self number, because there is not a number n which added to its sum of digits gives 2270257460.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1049 + ... + 67391.

It is an arithmetic number, because the mean of its divisors is an integer number (104491800).

Almost surely, 2^2270257460 is an apocalyptic number.

2270257460 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 2270257460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507803200).

2270257460 is an abundant number, since it is smaller than the sum of its proper divisors (2745348940).

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

2270257460 is a wasteful number, since it uses less digits than its factorization.

2270257460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66440 (or 66438 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 2270257460 is about 47647.2188065578. The cubic root of 2270257460 is about 1314.2915140508.

The spelling of 2270257460 in words is "two billion, two hundred seventy million, two hundred fifty-seven thousand, four hundred sixty".