2256069480192 has 432 divisors, whose sum is σ = 7557946660992. Its totient is φ = 665172725760.

The previous prime is 2256069480163. The next prime is 2256069480209. The reversal of 2256069480192 is 2910849606522.

2256069480192 is a `hidden beast` number, since 2 + 2 + 560 + 69 + 4 + 8 + 0 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 25274103 + ... + 25363209.

Almost surely, 2^{2256069480192} is an apocalyptic number.

2256069480192 is a gapful number since it is divisible by the number (22) 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 2256069480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778973330496).

2256069480192 is an abundant number, since it is smaller than the sum of its proper divisors (5301877180800).

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

2256069480192 is an equidigital number, since it uses as much as digits as its factorization.

2256069480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89186 (or 89160 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2256069480192 in words is "two trillion, two hundred fifty-six billion, sixty-nine million, four hundred eighty thousand, one hundred ninety-two".