2187286800 has 120 divisors (see below), whose sum is σ = 7018467456. Its totient is φ = 582289920.

The previous prime is 2187286771. The next prime is 2187286813. The reversal of 2187286800 is 86827812.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 955257 + ... + 957543.

Almost surely, 2^2187286800 is an apocalyptic number.

2187286800 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 2187286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509233728).

2187286800 is an abundant number, since it is smaller than the sum of its proper divisors (4831180656).

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

2187286800 is a wasteful number, since it uses less digits than its factorization.

2187286800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 2187286800 is about 46768.4380752661. The cubic root of 2187286800 is about 1298.0813511500.

The spelling of 2187286800 in words is "two billion, one hundred eighty-seven million, two hundred eighty-six thousand, eight hundred".