2830405200 has 240 divisors, whose sum is σ = 10415333376. Its totient is φ = 643622400.

The previous prime is 2830405199. The next prime is 2830405223. The reversal of 2830405200 is 25040382.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2830405200² = 16022387192374080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1872445 + ... + 1873955.

Almost surely, 2^2830405200 is an apocalyptic number.

2830405200 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 2830405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207666688).

2830405200 is an abundant number, since it is smaller than the sum of its proper divisors (7584928176).

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

2830405200 is a wasteful number, since it uses less digits than its factorization.

2830405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2830405200 is about 53201.5526089230. The cubic root of 2830405200 is about 1414.5431647576.

Adding to 2830405200 its reverse (25040382), we get a palindrome (2855445582).

The spelling of 2830405200 in words is "two billion, eight hundred thirty million, four hundred five thousand, two hundred".