2555208768 has 224 divisors, whose sum is σ = 8310067200. Its totient is φ = 676601856.

The previous prime is 2555208767. The next prime is 2555208827. The reversal of 2555208768 is 8678025552.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2555208767) 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 31 ways as a sum of consecutive naturals, for example, 1199128 + ... + 1201256.

Almost surely, 2^2555208768 is an apocalyptic number.

2555208768 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 2555208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155033600).

2555208768 is an abundant number, since it is smaller than the sum of its proper divisors (5754858432).

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

2555208768 is a wasteful number, since it uses less digits than its factorization.

2555208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 2555208768 is about 50549.0728698361. The cubic root of 2555208768 is about 1367.1267981747.

The spelling of 2555208768 in words is "two billion, five hundred fifty-five million, two hundred eight thousand, seven hundred sixty-eight".