2555940080 has 80 divisors (see below), whose sum is σ = 6166272000. Its totient is φ = 984234240.

The previous prime is 2555940073. The next prime is 2555940091. The reversal of 2555940080 is 800495552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 490931 + ... + 496109.

It is an arithmetic number, because the mean of its divisors is an integer number (77078400).

Almost surely, 2^2555940080 is an apocalyptic number.

2555940080 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 2555940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083136000).

2555940080 is an abundant number, since it is smaller than the sum of its proper divisors (3610331920).

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

2555940080 is a wasteful number, since it uses less digits than its factorization.

2555940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 2555940080 is about 50556.3060359437. The cubic root of 2555940080 is about 1367.2572116369.

The spelling of 2555940080 in words is "two billion, five hundred fifty-five million, nine hundred forty thousand, eighty".