2830416100 has 18 divisors (see below), whose sum is σ = 6142003154. Its totient is φ = 1132166400.

The previous prime is 2830416097. The next prime is 2830416103. The reversal of 2830416100 is 16140382.

It is an interprime number because it is at equal distance from previous prime (2830416097) and next prime (2830416103).

It can be written as a sum of positive squares in 3 ways, for example, as 10381284 + 2820034816 = 3222^2 + 53104^2 .

It is a super-2 number, since 2×2830416100² = 16022510598278420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2830416103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14151981 + ... + 14152180.

Almost surely, 2^2830416100 is an apocalyptic number.

2830416100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2830416100 is an abundant number, since it is smaller than the sum of its proper divisors (3311587054).

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

2830416100 is a wasteful number, since it uses less digits than its factorization.

2830416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28304175 (or 28304168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2830416100 is about 53201.6550494437. The cubic root of 2830416100 is about 1414.5449805755.

Adding to 2830416100 its reverse (16140382), we get a palindrome (2846556482).

The spelling of 2830416100 in words is "two billion, eight hundred thirty million, four hundred sixteen thousand, one hundred".