2554882560 has 420 divisors, whose sum is σ = 9439329438. Its totient is φ = 662888448.

The previous prime is 2554882529. The next prime is 2554882579. The reversal of 2554882560 is 652884552.

It is a happy number.

2554882560 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 8 + 82 + 560 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2554695936 + 186624 = 50544^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 69050862 + ... + 69050898.

Almost surely, 2^2554882560 is an apocalyptic number.

2554882560 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 2554882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719664719).

2554882560 is an abundant number, since it is smaller than the sum of its proper divisors (6884446878).

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

2554882560 is an frugal number, since it uses more digits than its factorization.

2554882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 2554882560 is about 50545.8461201314. The cubic root of 2554882560 is about 1367.0686181043.

The spelling of 2554882560 in words is "two billion, five hundred fifty-four million, eight hundred eighty-two thousand, five hundred sixty".