1812552000 has 224 divisors, whose sum is σ = 6840687360. Its totient is φ = 414259200.

The previous prime is 1812551999. The next prime is 1812552023. The reversal of 1812552000 is 2552181.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162606 + ... + 173394.

Almost surely, 2^1812552000 is an apocalyptic number.

1812552000 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 1812552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420343680).

1812552000 is an abundant number, since it is smaller than the sum of its proper divisors (5028135360).

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

1812552000 is a wasteful number, since it uses less digits than its factorization.

1812552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10826 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1812552000 is about 42574.0766194641. The cubic root of 1812552000 is about 1219.2614001084.

It can be divided in two parts, 18125 and 52000, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 1812552000 in words is "one billion, eight hundred twelve million, five hundred fifty-two thousand".