1842188010 has 64 divisors (see below), whose sum is σ = 4828481280. Its totient is φ = 447068160.

The previous prime is 1842188009. The next prime is 1842188027. The reversal of 1842188010 is 108812481.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5575 + ... + 60954.

It is an arithmetic number, because the mean of its divisors is an integer number (75445020).

Almost surely, 2^1842188010 is an apocalyptic number.

1842188010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1842188010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414240640).

1842188010 is an abundant number, since it is smaller than the sum of its proper divisors (2986293270).

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

1842188010 is a wasteful number, since it uses less digits than its factorization.

1842188010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66623.

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 1842188010 is about 42920.7177246607. The cubic root of 1842188010 is about 1225.8706591179.

The spelling of 1842188010 in words is "one billion, eight hundred forty-two million, one hundred eighty-eight thousand, ten".