1641801000 has 256 divisors, whose sum is σ = 6015260160. Its totient is φ = 364953600.

The previous prime is 1641800999. The next prime is 1641801023. The reversal of 1641801000 is 1081461.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 775944 + ... + 778056.

It is an arithmetic number, because the mean of its divisors is an integer number (23497110).

Almost surely, 2^1641801000 is an apocalyptic number.

1641801000 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 1641801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007630080).

1641801000 is an abundant number, since it is smaller than the sum of its proper divisors (4373459160).

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

1641801000 is a wasteful number, since it uses less digits than its factorization.

1641801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1641801000 is about 40519.1436237243. The cubic root of 1641801000 is about 1179.7052313608.

Adding to 1641801000 its reverse (1081461), we get a palindrome (1642882461).

The spelling of 1641801000 in words is "one billion, six hundred forty-one million, eight hundred one thousand".