2554999200 has 504 divisors, whose sum is σ = 10101064428. Its totient is φ = 627056640.

The previous prime is 2554999163. The next prime is 2554999259. The reversal of 2554999200 is 29994552.

2554999200 is a `hidden beast` number, since 2 + 554 + 9 + 9 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 265950864 + 2289048336 = 16308^2 + 47844^2 .

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

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 7581432 + ... + 7581768.

Almost surely, 2^2554999200 is an apocalyptic number.

2554999200 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 2554999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050532214).

2554999200 is an abundant number, since it is smaller than the sum of its proper divisors (7546065228).

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

2554999200 is a wasteful number, since it uses less digits than its factorization.

2554999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2554999200 is about 50546.9999109739. Note that the first 4 decimals coincide. The cubic root of 2554999200 is about 1367.0894217295.

The spelling of 2554999200 in words is "two billion, five hundred fifty-four million, nine hundred ninety-nine thousand, two hundred".