1819134240 has 384 divisors, whose sum is σ = 7242504192. Its totient is φ = 372817920.

The previous prime is 1819134209. The next prime is 1819134259. The reversal of 1819134240 is 424319181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3067384 + ... + 3067976.

It is an arithmetic number, because the mean of its divisors is an integer number (18860688).

Almost surely, 2^1819134240 is an apocalyptic number.

1819134240 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 1819134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621252096).

1819134240 is an abundant number, since it is smaller than the sum of its proper divisors (5423369952).

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

1819134240 is a wasteful number, since it uses less digits than its factorization.

1819134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1819134240 is about 42651.3099447133. The cubic root of 1819134240 is about 1220.7355235065.

The spelling of 1819134240 in words is "one billion, eight hundred nineteen million, one hundred thirty-four thousand, two hundred forty".