2256289136640 has 2016 divisors, whose sum is σ = 10552729614336. Its totient is φ = 448454983680.

The previous prime is 2256289136609. The next prime is 2256289136669. The reversal of 2256289136640 is 466319826522.

2256289136640 is a `hidden beast` number, since 2 + 2 + 5 + 628 + 9 + 1 + 3 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98099527669 + ... + 98099527691.

It is an arithmetic number, because the mean of its divisors is an integer number (5234488896).

Almost surely, 2^{2256289136640} is an apocalyptic number.

2256289136640 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 2256289136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276364807168).

2256289136640 is an abundant number, since it is smaller than the sum of its proper divisors (8296440477696).

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

2256289136640 is an frugal number, since it uses more digits than its factorization.

2256289136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2256289136640 in words is "two trillion, two hundred fifty-six billion, two hundred eighty-nine million, one hundred thirty-six thousand, six hundred forty".