2556216200 has 24 divisors (see below), whose sum is σ = 5943203130. Its totient is φ = 1022486400.

The previous prime is 2556216191. The next prime is 2556216209. The reversal of 2556216200 is 26126552.

It is an interprime number because it is at equal distance from previous prime (2556216191) and next prime (2556216209).

It can be written as a sum of positive squares in 3 ways, for example, as 1739056804 + 817159396 = 41702^2 + 28586^2 .

It is a super-2 number, since 2×2556216200² = 13068482522284880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2556216209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6390341 + ... + 6390740.

Almost surely, 2^2556216200 is an apocalyptic number.

2556216200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2556216200 is an abundant number, since it is smaller than the sum of its proper divisors (3386986930).

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

2556216200 is a wasteful number, since it uses less digits than its factorization.

2556216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12781097 (or 12781088 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2556216200 is about 50559.0367787995. The cubic root of 2556216200 is about 1367.3064451160.

The spelling of 2556216200 in words is "two billion, five hundred fifty-six million, two hundred sixteen thousand, two hundred".