1812942000 has 600 divisors, whose sum is σ = 7134221952. Its totient is φ = 443232000.

The previous prime is 1812941987. The next prime is 1812942071. The reversal of 1812942000 is 2492181.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58481985 + ... + 58482015.

Almost surely, 2^1812942000 is an apocalyptic number.

1812942000 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 1812942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567110976).

1812942000 is an abundant number, since it is smaller than the sum of its proper divisors (5321279952).

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

1812942000 is a wasteful number, since it uses less digits than its factorization.

1812942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1812942000 is about 42578.6566251215. The cubic root of 1812942000 is about 1219.3488418011.

The spelling of 1812942000 in words is "one billion, eight hundred twelve million, nine hundred forty-two thousand".