2256244326400 has 135 divisors (see below), whose sum is σ = 5597700213189. Its totient is φ = 902113198080.

The previous prime is 2256244326367. The next prime is 2256244326433. The reversal of 2256244326400 is 46234426522.

The square root of 2256244326400 is 1502080.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2256244326367) and next prime (2256244326433).

It can be written as a sum of positive squares in only one way, i.e., 812247957504 + 1443996368896 = 901248^2 + 1201664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 961330027 + ... + 961332373.

Almost surely, 2^{2256244326400} is an apocalyptic number.

2256244326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2256244326400 is the 1502080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256244326400

2256244326400 is an abundant number, since it is smaller than the sum of its proper divisors (3341455886789).

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

2256244326400 is an frugal number, since it uses more digits than its factorization.

2256244326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 2256244326400 in words is "two trillion, two hundred fifty-six billion, two hundred forty-four million, three hundred twenty-six thousand, four hundred".