2830132483200 has 1920 divisors, whose sum is σ = 12032679859200. Its totient is φ = 648340070400.

The previous prime is 2830132483153. The next prime is 2830132483201. The reversal of 2830132483200 is 23842310382.

2830132483200 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 1 + 324 + 8 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (2830132483201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6754492591 + ... + 6754493009.

It is an arithmetic number, because the mean of its divisors is an integer number (6267020760).

Almost surely, 2^{2830132483200} is an apocalyptic number.

2830132483200 is a gapful number since it is divisible by the number (20) 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 2830132483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016339929600).

2830132483200 is an abundant number, since it is smaller than the sum of its proper divisors (9202547376000).

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

2830132483200 is a wasteful number, since it uses less digits than its factorization.

2830132483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 2830132483200 its reverse (23842310382), we get a palindrome (2853974793582).

The spelling of 2830132483200 in words is "two trillion, eight hundred thirty billion, one hundred thirty-two million, four hundred eighty-three thousand, two hundred".