2187801000 has 864 divisors, whose sum is σ = 9685788840. Its totient is φ = 443520000.

The previous prime is 2187800983. The next prime is 2187801013. The reversal of 2187801000 is 1087812.

It can be written as a sum of positive squares in 4 ways, for example, as 179506404 + 2008294596 = 13398^2 + 44814^2 .

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 53360980 + ... + 53361020.

Almost surely, 2^2187801000 is an apocalyptic number.

2187801000 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 2187801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842894420).

2187801000 is an abundant number, since it is smaller than the sum of its proper divisors (7497987840).

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

2187801000 is a wasteful number, since it uses less digits than its factorization.

2187801000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 2187801000 is about 46773.9350493413. The cubic root of 2187801000 is about 1298.1830633311.

Adding to 2187801000 its reverse (1087812), we get a palindrome (2188888812).

The spelling of 2187801000 in words is "two billion, one hundred eighty-seven million, eight hundred one thousand".