1809943040 has 160 divisors (see below), whose sum is σ = 4619704320. Its totient is φ = 678150144.

The previous prime is 1809943039. The next prime is 1809943049. The reversal of 1809943040 is 403499081.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1809942985 and 1809943003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809943049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6177134 + ... + 6177426.

It is an arithmetic number, because the mean of its divisors is an integer number (28873152).

Almost surely, 2^1809943040 is an apocalyptic number.

1809943040 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 1809943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309852160).

1809943040 is an abundant number, since it is smaller than the sum of its proper divisors (2809761280).

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

1809943040 is a wasteful number, since it uses less digits than its factorization.

1809943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1809943040 is about 42543.4253439941. The cubic root of 1809943040 is about 1218.6761237183.

The spelling of 1809943040 in words is "one billion, eight hundred nine million, nine hundred forty-three thousand, forty".