2256054683680 has 576 divisors, whose sum is σ = 6684913670400. Its totient is φ = 714779197440.

The previous prime is 2256054683657. The next prime is 2256054683683. The reversal of 2256054683680 is 863864506522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2256054683683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3964946436 + ... + 3964947004.

It is an arithmetic number, because the mean of its divisors is an integer number (11605752900).

Almost surely, 2^{2256054683680} is an apocalyptic number.

2256054683680 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 2256054683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342456835200).

2256054683680 is an abundant number, since it is smaller than the sum of its proper divisors (4428858986720).

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

2256054683680 is a wasteful number, since it uses less digits than its factorization.

2256054683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 2256054683680 in words is "two trillion, two hundred fifty-six billion, fifty-four million, six hundred eighty-three thousand, six hundred eighty".