1830197952 has 336 divisors, whose sum is σ = 6295461120. Its totient is φ = 501811200.

The previous prime is 1830197947. The next prime is 1830197953. The reversal of 1830197952 is 2597910381.

It is a junction number, because it is equal to n+sod(n) for n = 1830197898 and 1830197907.

It is not an unprimeable number, because it can be changed into a prime (1830197953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768502 + ... + 2769162.

Almost surely, 2^1830197952 is an apocalyptic number.

1830197952 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 1830197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147730560).

1830197952 is an abundant number, since it is smaller than the sum of its proper divisors (4465263168).

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

1830197952 is a wasteful number, since it uses less digits than its factorization.

1830197952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1830197952 is about 42780.8128955026. The cubic root of 1830197952 is about 1223.2053024192.

The spelling of 1830197952 in words is "one billion, eight hundred thirty million, one hundred ninety-seven thousand, nine hundred fifty-two".