2256353440 has 96 divisors (see below), whose sum is σ = 5939184384. Its totient is φ = 803005440.

The previous prime is 2256353431. The next prime is 2256353443. The reversal of 2256353440 is 443536522.

It is a super-2 number, since 2×2256353440² = 10182261692399667200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2256353396 and 2256353405.

It is not an unprimeable number, because it can be changed into a prime (2256353443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69082 + ... + 96358.

It is an arithmetic number, because the mean of its divisors is an integer number (61866504).

Almost surely, 2^2256353440 is an apocalyptic number.

2256353440 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 2256353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969592192).

2256353440 is an abundant number, since it is smaller than the sum of its proper divisors (3682830944).

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

2256353440 is a wasteful number, since it uses less digits than its factorization.

2256353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27350 (or 27342 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 2256353440 is about 47501.0888296258. The cubic root of 2256353440 is about 1311.6029249003.

Adding to 2256353440 its reverse (443536522), we get a palindrome (2699889962).

The spelling of 2256353440 in words is "two billion, two hundred fifty-six million, three hundred fifty-three thousand, four hundred forty".