2555434368 has 192 divisors, whose sum is σ = 7596388800. Its totient is φ = 824131584.

The previous prime is 2555434327. The next prime is 2555434369. The reversal of 2555434368 is 8634345552.

2555434368 is a `hidden beast` number, since 2 + 5 + 5 + 543 + 43 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555434369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5901480 + ... + 5901912.

It is an arithmetic number, because the mean of its divisors is an integer number (39564525).

Almost surely, 2^2555434368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798194400).

2555434368 is an abundant number, since it is smaller than the sum of its proper divisors (5040954432).

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

2555434368 is a wasteful number, since it uses less digits than its factorization.

2555434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 594 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2555434368 is about 50551.3043155169. The cubic root of 2555434368 is about 1367.1670316425.

The spelling of 2555434368 in words is "two billion, five hundred fifty-five million, four hundred thirty-four thousand, three hundred sixty-eight".