1830736512 has 128 divisors (see below), whose sum is σ = 5894539200. Its totient is φ = 554757120.

The previous prime is 1830736499. The next prime is 1830736529. The reversal of 1830736512 is 2156370381.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1830736512² = 6703192352739852288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13938 + ... + 62094.

Almost surely, 2^1830736512 is an apocalyptic number.

1830736512 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 1830736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947269600).

1830736512 is an abundant number, since it is smaller than the sum of its proper divisors (4063802688).

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

1830736512 is a wasteful number, since it uses less digits than its factorization.

1830736512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48191 (or 48173 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1830736512 is about 42787.1068430666. The cubic root of 1830736512 is about 1223.3252721088.

The spelling of 1830736512 in words is "one billion, eight hundred thirty million, seven hundred thirty-six thousand, five hundred twelve".