1801998240 has 192 divisors, whose sum is σ = 6514421760. Its totient is φ = 410158080.

The previous prime is 1801998239. The next prime is 1801998271. The reversal of 1801998240 is 428991081.

It is a super-3 number, since 3×1801998240³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1801998192 and 1801998201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909571 + ... + 911549.

It is an arithmetic number, because the mean of its divisors is an integer number (33929280).

Almost surely, 2^1801998240 is an apocalyptic number.

1801998240 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 1801998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257210880).

1801998240 is an abundant number, since it is smaller than the sum of its proper divisors (4712423520).

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

1801998240 is a wasteful number, since it uses less digits than its factorization.

1801998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1801998240 is about 42449.9498232919. The cubic root of 1801998240 is about 1216.8903696583.

The spelling of 1801998240 in words is "one billion, eight hundred one million, nine hundred ninety-eight thousand, two hundred forty".