2556006200 has 96 divisors (see below), whose sum is σ = 6503490000. Its totient is φ = 926515200.

The previous prime is 2556006197. The next prime is 2556006223. The reversal of 2556006200 is 26006552.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2556006200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766136 + ... + 769464.

Almost surely, 2^2556006200 is an apocalyptic number.

2556006200 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 2556006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251745000).

2556006200 is an abundant number, since it is smaller than the sum of its proper divisors (3947483800).

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

2556006200 is a wasteful number, since it uses less digits than its factorization.

2556006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2556006200 is about 50556.9599560733. The cubic root of 2556006200 is about 1367.2690014630.

The spelling of 2556006200 in words is "two billion, five hundred fifty-six million, six thousand, two hundred".