2581198200 has 144 divisors (see below), whose sum is σ = 9906932880. Its totient is φ = 589985280.

The previous prime is 2581198187. The next prime is 2581198211. The reversal of 2581198200 is 28911852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89829 + ... + 115028.

It is an arithmetic number, because the mean of its divisors is an integer number (68798145).

Almost surely, 2^2581198200 is an apocalyptic number.

2581198200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2581198200 is an abundant number, since it is smaller than the sum of its proper divisors (7325734680).

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

2581198200 is a wasteful number, since it uses less digits than its factorization.

2581198200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204886 (or 204874 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2581198200 is about 50805.4937974231. The cubic root of 2581198200 is about 1371.7462591781.

The spelling of 2581198200 in words is "two billion, five hundred eighty-one million, one hundred ninety-eight thousand, two hundred".