2256069888072 has 768 divisors, whose sum is σ = 8714281605120. Its totient is φ = 507467980800.

The previous prime is 2256069888053. The next prime is 2256069888077. The reversal of 2256069888072 is 2708889606522.

2256069888072 is a `hidden beast` number, since 2 + 2 + 560 + 69 + 8 + 8 + 8 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2256069888077) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 405546363 + ... + 405551925.

It is an arithmetic number, because the mean of its divisors is an integer number (11346720840).

Almost surely, 2^{2256069888072} is an apocalyptic number.

2256069888072 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 2256069888072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357140802560).

2256069888072 is an abundant number, since it is smaller than the sum of its proper divisors (6458211717048).

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

2256069888072 is a wasteful number, since it uses less digits than its factorization.

2256069888072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2256069888072 in words is "two trillion, two hundred fifty-six billion, sixty-nine million, eight hundred eighty-eight thousand, seventy-two".