2551278080 has 120 divisors (see below), whose sum is σ = 6624952092. Its totient is φ = 941850624.

The previous prime is 2551278071. The next prime is 2551278097. The reversal of 2551278080 is 808721552.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 749445376 + 1801832704 = 27376^2 + 42448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429692 + ... + 435588.

Almost surely, 2^2551278080 is an apocalyptic number.

2551278080 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 2551278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312476046).

2551278080 is an abundant number, since it is smaller than the sum of its proper divisors (4073674012).

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

2551278080 is an equidigital number, since it uses as much as digits as its factorization.

2551278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 2551278080 is about 50510.1779842439. The cubic root of 2551278080 is about 1366.4254195097.

The spelling of 2551278080 in words is "two billion, five hundred fifty-one million, two hundred seventy-eight thousand, eighty".