2254525636608 has 896 divisors, whose sum is σ = 8100384307200. Its totient is φ = 605350526976.

The previous prime is 2254525636603. The next prime is 2254525636639. The reversal of 2254525636608 is 8066365254522.

2254525636608 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 25 + 6 + 3 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×2254525636608² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2254525636603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5089222435 + ... + 5089222877.

Almost surely, 2^{2254525636608} is an apocalyptic number.

2254525636608 is a gapful number since it is divisible by the number (28) 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 2254525636608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050192153600).

2254525636608 is an abundant number, since it is smaller than the sum of its proper divisors (5845858670592).

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

2254525636608 is a wasteful number, since it uses less digits than its factorization.

2254525636608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 2254525636608 in words is "two trillion, two hundred fifty-four billion, five hundred twenty-five million, six hundred thirty-six thousand, six hundred eight".