1812638000 has 80 divisors (see below), whose sum is σ = 4613737440. Its totient is φ = 686880000.

The previous prime is 1812637993. The next prime is 1812638021. The reversal of 1812638000 is 8362181.

It is a tau number, because it is divible by the number of its divisors (80).

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, 14150 + ... + 61850.

It is an arithmetic number, because the mean of its divisors is an integer number (57671718).

Almost surely, 2^1812638000 is an apocalyptic number.

1812638000 is a gapful number since it is divisible by the number (10) 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 1812638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306868720).

1812638000 is an abundant number, since it is smaller than the sum of its proper divisors (2801099440).

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

1812638000 is a wasteful number, since it uses less digits than its factorization.

1812638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47743 (or 47727 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1812638000 is about 42575.0866117733. The cubic root of 1812638000 is about 1219.2806832006.

The spelling of 1812638000 in words is "one billion, eight hundred twelve million, six hundred thirty-eight thousand".