1842117984 has 192 divisors, whose sum is σ = 6162670080. Its totient is φ = 524413440.

The previous prime is 1842117983. The next prime is 1842118009. The reversal of 1842117984 is 4897112481.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842117983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3271687 + ... + 3272249.

It is an arithmetic number, because the mean of its divisors is an integer number (32097240).

Almost surely, 2^1842117984 is an apocalyptic number.

1842117984 is a gapful number since it is divisible by the number (14) 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 1842117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081335040).

1842117984 is an abundant number, since it is smaller than the sum of its proper divisors (4320552096).

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

1842117984 is a wasteful number, since it uses less digits than its factorization.

1842117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 1842117984 is about 42919.9019570176. The cubic root of 1842117984 is about 1225.8551261563.

The spelling of 1842117984 in words is "one billion, eight hundred forty-two million, one hundred seventeen thousand, nine hundred eighty-four".