2256446142720 has 1728 divisors, whose sum is σ = 10514241158400. Its totient is φ = 452595548160.

The previous prime is 2256446142703. The next prime is 2256446142733. The reversal of 2256446142720 is 272416446522.

2256446142720 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 4 + 614 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 540205272 + ... + 540209448.

It is an arithmetic number, because the mean of its divisors is an integer number (6084630300).

Almost surely, 2^{2256446142720} is an apocalyptic number.

2256446142720 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 2256446142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257120579200).

2256446142720 is an abundant number, since it is smaller than the sum of its proper divisors (8257795015680).

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

2256446142720 is a wasteful number, since it uses less digits than its factorization.

2256446142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2256446142720 in words is "two trillion, two hundred fifty-six billion, four hundred forty-six million, one hundred forty-two thousand, seven hundred twenty".