1801051800 has 192 divisors, whose sum is σ = 6133536000. Its totient is φ = 435156480.

The previous prime is 1801051787. The next prime is 1801051829. The reversal of 1801051800 is 81501081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258766 + ... + 265634.

It is an arithmetic number, because the mean of its divisors is an integer number (31945500).

Almost surely, 2^1801051800 is an apocalyptic number.

1801051800 is a gapful number since it is divisible by the number (10) 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 1801051800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066768000).

1801051800 is an abundant number, since it is smaller than the sum of its proper divisors (4332484200).

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

1801051800 is a wasteful number, since it uses less digits than its factorization.

1801051800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 1801051800 is about 42438.8006428080. The cubic root of 1801051800 is about 1216.6772885376.

Adding to 1801051800 its reverse (81501081), we get a palindrome (1882552881).

The spelling of 1801051800 in words is "one billion, eight hundred one million, fifty-one thousand, eight hundred".