1834942464 has 272 divisors, whose sum is σ = 5851009440. Its totient is φ = 566231040.

The previous prime is 1834942451. The next prime is 1834942489. The reversal of 1834942464 is 4642494381.

1834942464 is a `hidden beast` number, since 1 + 83 + 494 + 24 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (272).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30080994 + ... + 30081054.

Almost surely, 2^1834942464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925504720).

1834942464 is an abundant number, since it is smaller than the sum of its proper divisors (4016066976).

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

1834942464 is an frugal number, since it uses more digits than its factorization.

1834942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1834942464 is about 42836.2284054047. The cubic root of 1834942464 is about 1224.2613820870.

The spelling of 1834942464 in words is "one billion, eight hundred thirty-four million, nine hundred forty-two thousand, four hundred sixty-four".