2554808832 has 180 divisors, whose sum is σ = 7546517550. Its totient is φ = 832020480.

The previous prime is 2554808831. The next prime is 2554808843. The reversal of 2554808832 is 2388084552.

2554808832 is a `hidden beast` number, since 25 + 548 + 0 + 8 + 83 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 310323456 + 2244485376 = 17616^2 + 47376^2 .

It is not an unprimeable number, because it can be changed into a prime (2554808831) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17146294 + ... + 17146442.

Almost surely, 2^2554808832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773258775).

2554808832 is an abundant number, since it is smaller than the sum of its proper divisors (4991708718).

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

2554808832 is an equidigital number, since it uses as much as digits as its factorization.

2554808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 2554808832 is about 50545.1167967787. The cubic root of 2554808832 is about 1367.0554678320.

The spelling of 2554808832 in words is "two billion, five hundred fifty-four million, eight hundred eight thousand, eight hundred thirty-two".