2400126100 has 72 divisors (see below), whose sum is σ = 5271294560. Its totient is φ = 948516480.

The previous prime is 2400126089. The next prime is 2400126119. The reversal of 2400126100 is 16210042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3732379 + ... + 3733021.

Almost surely, 2^2400126100 is an apocalyptic number.

2400126100 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 2400126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635647280).

2400126100 is an abundant number, since it is smaller than the sum of its proper divisors (2871168460).

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

2400126100 is a wasteful number, since it uses less digits than its factorization.

2400126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1042 counting only the distinct ones).

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

The square root of 2400126100 is about 48991.0818414944. The cubic root of 2400126100 is about 1338.8893485023.

Adding to 2400126100 its reverse (16210042), we get a palindrome (2416336142).

The spelling of 2400126100 in words is "two billion, four hundred million, one hundred twenty-six thousand, one hundred".