1830612000 has 768 divisors, whose sum is σ = 7648542720. Its totient is φ = 373248000.

The previous prime is 1830611983. The next prime is 1830612041. The reversal of 1830612000 is 2160381.

It is a super-2 number, since 2×1830612000² = 6702280589088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49475982 + ... + 49476018.

It is an arithmetic number, because the mean of its divisors is an integer number (9959040).

Almost surely, 2^1830612000 is an apocalyptic number.

1830612000 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 1830612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824271360).

1830612000 is an abundant number, since it is smaller than the sum of its proper divisors (5817930720).

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

1830612000 is a wasteful number, since it uses less digits than its factorization.

1830612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1830612000 is about 42785.6518005745. The cubic root of 1830612000 is about 1223.2975378921.

Adding to 1830612000 its reverse (2160381), we get a palindrome (1832772381).

The spelling of 1830612000 in words is "one billion, eight hundred thirty million, six hundred twelve thousand".