1842084096 has 144 divisors (see below), whose sum is σ = 5224464000. Its totient is φ = 574193664.

The previous prime is 1842084047. The next prime is 1842084107. The reversal of 1842084096 is 6904802481.

It is a super-2 number, since 2×1842084096² = 6786547633472274432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597790 + ... + 2598498.

It is an arithmetic number, because the mean of its divisors is an integer number (36281000).

Almost surely, 2^1842084096 is an apocalyptic number.

1842084096 is a gapful number since it is divisible by the number (16) 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 1842084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612232000).

1842084096 is an abundant number, since it is smaller than the sum of its proper divisors (3382379904).

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

1842084096 is a wasteful number, since it uses less digits than its factorization.

1842084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1842084096 is about 42919.5071733122. The cubic root of 1842084096 is about 1225.8476090784.

The spelling of 1842084096 in words is "one billion, eight hundred forty-two million, eighty-four thousand, ninety-six".