2256206224320 has 168 divisors, whose sum is σ = 7763427852336. Its totient is φ = 601420972032.

The previous prime is 2256206224309. The next prime is 2256206224367. The reversal of 2256206224320 is 234226026522.

2256206224320 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 0 + 622 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7316779 + ... + 7618901.

Almost surely, 2^{2256206224320} is an apocalyptic number.

2256206224320 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 2256206224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881713926168).

2256206224320 is an abundant number, since it is smaller than the sum of its proper divisors (5507221628016).

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

2256206224320 is a wasteful number, since it uses less digits than its factorization.

2256206224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304739 (or 304726 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2256206224320 in words is "two trillion, two hundred fifty-six billion, two hundred six million, two hundred twenty-four thousand, three hundred twenty".