2400113331 has 24 divisors (see below), whose sum is σ = 4322283264. Its totient is φ = 1246811760.

The previous prime is 2400113293. The next prime is 2400113347. The reversal of 2400113331 is 1333110042.

It is not a de Polignac number, because 2400113331 - 2⁷ = 2400113203 is a prime.

It is a super-3 number, since 3×2400113331³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2400115331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730991 + ... + 1732376.

It is an arithmetic number, because the mean of its divisors is an integer number (180095136).

Almost surely, 2^2400113331 is an apocalyptic number.

2400113331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2400113331 is a deficient number, since it is larger than the sum of its proper divisors (1922169933).

2400113331 is a wasteful number, since it uses less digits than its factorization.

2400113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463391 (or 3463388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2400113331 is about 48990.9515216841. The cubic root of 2400113331 is about 1338.8869741398.

Adding to 2400113331 its reverse (1333110042), we get a palindrome (3733223373).

It can be divided in two parts, 240011 and 3331, that added together give a palindrome (243342).

The spelling of 2400113331 in words is "two billion, four hundred million, one hundred thirteen thousand, three hundred thirty-one".