2555776320 has 224 divisors, whose sum is σ = 8295436800. Its totient is φ = 666568704.

The previous prime is 2555776319. The next prime is 2555776331. The reversal of 2555776320 is 236775552.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 14277991 + ... + 14278169.

It is an arithmetic number, because the mean of its divisors is an integer number (37033200).

Almost surely, 2^2555776320 is an apocalyptic number.

2555776320 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 2555776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147718400).

2555776320 is an abundant number, since it is smaller than the sum of its proper divisors (5739660480).

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

2555776320 is a wasteful number, since it uses less digits than its factorization.

2555776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The square root of 2555776320 is about 50554.6864296476. The cubic root of 2555776320 is about 1367.2280107929.

The spelling of 2555776320 in words is "two billion, five hundred fifty-five million, seven hundred seventy-six thousand, three hundred twenty".