2554506400 has 72 divisors (see below), whose sum is σ = 6368967360. Its totient is φ = 1000047360.

The previous prime is 2554506359. The next prime is 2554506401. The reversal of 2554506400 is 46054552.

It is not an unprimeable number, because it can be changed into a prime (2554506401) 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 11 ways as a sum of consecutive naturals, for example, 3631 + ... + 71569.

It is an arithmetic number, because the mean of its divisors is an integer number (88457880).

Almost surely, 2^2554506400 is an apocalyptic number.

2554506400 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 2554506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184483680).

2554506400 is an abundant number, since it is smaller than the sum of its proper divisors (3814460960).

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

2554506400 is a wasteful number, since it uses less digits than its factorization.

2554506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68006 (or 67993 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 2554506400 is about 50542.1250047918. The cubic root of 2554506400 is about 1367.0015228128.

The spelling of 2554506400 in words is "two billion, five hundred fifty-four million, five hundred six thousand, four hundred".