1820041692 has 288 divisors, whose sum is σ = 5673024000. Its totient is φ = 451132416.

The previous prime is 1820041669. The next prime is 1820041703. The reversal of 1820041692 is 2961400281.

It is a congruent number.

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, 49190298 + ... + 49190334.

It is an arithmetic number, because the mean of its divisors is an integer number (19698000).

Almost surely, 2^1820041692 is an apocalyptic number.

1820041692 is a gapful number since it is divisible by the number (12) 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 1820041692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836512000).

1820041692 is an abundant number, since it is smaller than the sum of its proper divisors (3852982308).

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

1820041692 is a wasteful number, since it uses less digits than its factorization.

1820041692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1820041692 is about 42661.9466503815. The cubic root of 1820041692 is about 1220.9384725654.

The spelling of 1820041692 in words is "one billion, eight hundred twenty million, forty-one thousand, six hundred ninety-two".