2256729460 has 24 divisors (see below), whose sum is σ = 4782614760. Its totient is φ = 894409344.

The previous prime is 2256729437. The next prime is 2256729521. The reversal of 2256729460 is 649276522.

It can be written as a sum of positive squares in 4 ways, for example, as 649842064 + 1606887396 = 25492^2 + 40086^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515419 + ... + 519778.

It is an arithmetic number, because the mean of its divisors is an integer number (199275615).

Almost surely, 2^2256729460 is an apocalyptic number.

2256729460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256729460 is an abundant number, since it is smaller than the sum of its proper divisors (2525885300).

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

2256729460 is a wasteful number, since it uses less digits than its factorization.

2256729460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035315 (or 1035313 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 2256729460 is about 47505.0466792740. The cubic root of 2256729460 is about 1311.6757801438.

The spelling of 2256729460 in words is "two billion, two hundred fifty-six million, seven hundred twenty-nine thousand, four hundred sixty".