2400100 has 18 divisors (see below), whose sum is σ = 5208434. Its totient is φ = 960000.

The previous prime is 2400089. The next prime is 2400107. The reversal of 2400100 is 10042.

2400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 40804 + 2359296 = 202^2 + 1536^2 .

It is not an unprimeable number, because it can be changed into a prime (2400107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11901 + ... + 12100.

2^2400100 is an apocalyptic number.

2400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400100 is an abundant number, since it is smaller than the sum of its proper divisors (2808334).

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

2400100 is a wasteful number, since it uses less digits than its factorization.

2400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24015 (or 24008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2400100 is about 1549.2256130080. The cubic root of 2400100 is about 133.8884495266. Note that the first 3 decimals are identical.

Adding to 2400100 its reverse (10042), we get a palindrome (2410142).

It can be divided in two parts, 2400 and 100, that added together give a square (2500 = 50²).

The spelling of 2400100 in words is "two million, four hundred thousand, one hundred".