2409828100 has 27 divisors (see below), whose sum is σ = 5230392447. Its totient is φ = 963734880.

The previous prime is 2409828089. The next prime is 2409828103. The reversal of 2409828100 is 18289042.

The square root of 2409828100 is 49090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 675272196 + 1734555904 = 25986^2 + 41648^2 .

It is a super-2 number, since 2×2409828100² = 11614542943099220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2409828103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 488446 + ... + 493354.

Almost surely, 2^2409828100 is an apocalyptic number.

2409828100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2409828100 is the 49090-th square number.

It is an amenable number.

2409828100 is an abundant number, since it is smaller than the sum of its proper divisors (2820564347).

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

2409828100 is an frugal number, since it uses more digits than its factorization.

2409828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The cubic root of 2409828100 is about 1340.6909817142.

Multiplying 2409828100 by its product of nonzero digits (9216), we get a square (22208975769600 = 4712640²).

The spelling of 2409828100 in words is "two billion, four hundred nine million, eight hundred twenty-eight thousand, one hundred".