1830882816 has 240 divisors, whose sum is σ = 6237124608. Its totient is φ = 505958400.

The previous prime is 1830882811. The next prime is 1830882887. The reversal of 1830882816 is 6182880381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830882811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999021 + ... + 1000851.

Almost surely, 2^1830882816 is an apocalyptic number.

1830882816 is a gapful number since it is divisible by the number (16) 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 1830882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118562304).

1830882816 is an abundant number, since it is smaller than the sum of its proper divisors (4406241792).

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

1830882816 is a wasteful number, since it uses less digits than its factorization.

1830882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1830882816 is about 42788.8164828148. The cubic root of 1830882816 is about 1223.3578587412.

It can be divided in two parts, 18308 and 82816, that added together give a square (101124 = 318²).

The spelling of 1830882816 in words is "one billion, eight hundred thirty million, eight hundred eighty-two thousand, eight hundred sixteen".