2555205120 has 480 divisors, whose sum is σ = 10054044000. Its totient is φ = 594542592.

The previous prime is 2555205083. The next prime is 2555205199. The reversal of 2555205120 is 215025552.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5690656 + ... + 5691104.

It is an arithmetic number, because the mean of its divisors is an integer number (20945925).

Almost surely, 2^2555205120 is an apocalyptic number.

2555205120 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 2555205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027022000).

2555205120 is an abundant number, since it is smaller than the sum of its proper divisors (7498838880).

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

2555205120 is a wasteful number, since it uses less digits than its factorization.

2555205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 2555205120 is about 50549.0367860754. The cubic root of 2555205120 is about 1367.1261475715.

The spelling of 2555205120 in words is "two billion, five hundred fifty-five million, two hundred five thousand, one hundred twenty".