2980208100 has 72 divisors (see below), whose sum is σ = 8628211648. Its totient is φ = 794217600.

The previous prime is 2980208093. The next prime is 2980208107. The reversal of 2980208100 is 18020892.

2980208100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2980208093) and next prime (2980208107).

It is a super-2 number, since 2×2980208100² = 17763280638611220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2980208107) 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, 909465 + ... + 912735.

Almost surely, 2^2980208100 is an apocalyptic number.

2980208100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2980208100 is an abundant number, since it is smaller than the sum of its proper divisors (5648003548).

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

2980208100 is a wasteful number, since it uses less digits than its factorization.

2980208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2980208100 is about 54591.2822710733. The cubic root of 2980208100 is about 1439.0709188229.

Adding to 2980208100 its reverse (18020892), we get a palindrome (2998228992).

The spelling of 2980208100 in words is "two billion, nine hundred eighty million, two hundred eight thousand, one hundred".