2578608200 has 192 divisors, whose sum is σ = 7254178560. Its totient is φ = 833310720.

The previous prime is 2578608191. The next prime is 2578608209. The reversal of 2578608200 is 28068752.

It is an interprime number because it is at equal distance from previous prime (2578608191) and next prime (2578608209).

It is not an unprimeable number, because it can be changed into a prime (2578608209) 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 47 ways as a sum of consecutive naturals, for example, 2350052 + ... + 2351148.

It is an arithmetic number, because the mean of its divisors is an integer number (37782180).

Almost surely, 2^2578608200 is an apocalyptic number.

2578608200 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 2578608200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627089280).

2578608200 is an abundant number, since it is smaller than the sum of its proper divisors (4675570360).

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

2578608200 is a wasteful number, since it uses less digits than its factorization.

2578608200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 2578608200 is about 50779.9980307207. The cubic root of 2578608200 is about 1371.2872976789.

The spelling of 2578608200 in words is "two billion, five hundred seventy-eight million, six hundred eight thousand, two hundred".