1834842240 has 768 divisors, whose sum is σ = 8288438400. Its totient is φ = 379330560.

The previous prime is 1834842211. The next prime is 1834842257. The reversal of 1834842240 is 422484381.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1834842195 and 1834842204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313822 + ... + 9314018.

Almost surely, 2^1834842240 is an apocalyptic number.

1834842240 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 1834842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144219200).

1834842240 is an abundant number, since it is smaller than the sum of its proper divisors (6453596160).

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

1834842240 is a wasteful number, since it uses less digits than its factorization.

1834842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1834842240 is about 42835.0585385383. The cubic root of 1834842240 is about 1224.2390920863.

The spelling of 1834842240 in words is "one billion, eight hundred thirty-four million, eight hundred forty-two thousand, two hundred forty".