2400113100 has 216 divisors, whose sum is σ = 8813060928. Its totient is φ = 498691200.

The previous prime is 2400113083. The next prime is 2400113119. The reversal of 2400113100 is 13110042.

It is a happy number.

2400113100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2400113100² = 11521085785583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154279 + ... + 169121.

It is an arithmetic number, because the mean of its divisors is an integer number (40801208).

Almost surely, 2^2400113100 is an apocalyptic number.

2400113100 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 2400113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406530464).

2400113100 is an abundant number, since it is smaller than the sum of its proper divisors (6412947828).

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

2400113100 is a wasteful number, since it uses less digits than its factorization.

2400113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2400113100 is about 48990.9491641058. The cubic root of 2400113100 is about 1338.8869311858.

Adding to 2400113100 its reverse (13110042), we get a palindrome (2413223142).

The spelling of 2400113100 in words is "two billion, four hundred million, one hundred thirteen thousand, one hundred".