2400133112 has 64 divisors (see below), whose sum is σ = 4980830400. Its totient is φ = 1077212160.

The previous prime is 2400133111. The next prime is 2400133123. The reversal of 2400133112 is 2113310042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657973 + ... + 1659419.

It is an arithmetic number, because the mean of its divisors is an integer number (77825475).

Almost surely, 2^2400133112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490415200).

2400133112 is an abundant number, since it is smaller than the sum of its proper divisors (2580697288).

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

2400133112 is a wasteful number, since it uses less digits than its factorization.

2400133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2400133112 is about 48991.1534054874. The cubic root of 2400133112 is about 1338.8906523620.

Adding to 2400133112 its reverse (2113310042), we get a palindrome (4513443154).

The spelling of 2400133112 in words is "two billion, four hundred million, one hundred thirty-three thousand, one hundred twelve".