2256653610 has 144 divisors (see below), whose sum is σ = 6354214776. Its totient is φ = 555350016.

The previous prime is 2256653591. The next prime is 2256653611. The reversal of 2256653610 is 163566522.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 386004609 + 1870649001 = 19647^2 + 43251^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2256653611) 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 71 ways as a sum of consecutive naturals, for example, 1377712 + ... + 1379348.

Almost surely, 2^2256653610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256653610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177107388).

2256653610 is an abundant number, since it is smaller than the sum of its proper divisors (4097561166).

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

2256653610 is a wasteful number, since it uses less digits than its factorization.

2256653610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2256653610 is about 47504.2483363330. The cubic root of 2256653610 is about 1311.6610845819.

It can be divided in two parts, 22566 and 53610, that added together give a square (76176 = 276²).

The spelling of 2256653610 in words is "two billion, two hundred fifty-six million, six hundred fifty-three thousand, six hundred ten".