2820003100 has 54 divisors (see below), whose sum is σ = 6289571400. Its totient is φ = 1097461440.

The previous prime is 2820003091. The next prime is 2820003101. The reversal of 2820003100 is 13000282.

It is a happy number.

It is a super-2 number, since 2×2820003100² = 15904834968019220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820003101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126601 + ... + 147199.

Almost surely, 2^2820003100 is an apocalyptic number.

2820003100 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 2820003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144785700).

2820003100 is an abundant number, since it is smaller than the sum of its proper divisors (3469568300).

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

2820003100 is a wasteful number, since it uses less digits than its factorization.

2820003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20687 (or 20643 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2820003100 is about 53103.7013775876. The cubic root of 2820003100 is about 1412.8081620694.

Adding to 2820003100 its reverse (13000282), we get a palindrome (2833003382).

The spelling of 2820003100 in words is "two billion, eight hundred twenty million, three thousand, one hundred".