2400331856 has 80 divisors (see below), whose sum is σ = 5230915200. Its totient is φ = 1059362304.

The previous prime is 2400331841. The next prime is 2400331867. The reversal of 2400331856 is 6581330042.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 643565 + ... + 647283.

It is an arithmetic number, because the mean of its divisors is an integer number (65386440).

Almost surely, 2^2400331856 is an apocalyptic number.

2400331856 is a gapful number since it is divisible by the number (26) 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 2400331856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

2400331856 is an abundant number, since it is smaller than the sum of its proper divisors (2830583344).

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

2400331856 is a wasteful number, since it uses less digits than its factorization.

2400331856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2400331856 is about 48993.1817297060. The cubic root of 2400331856 is about 1338.9276071373.

Adding to 2400331856 its reverse (6581330042), we get a palindrome (8981661898).

The spelling of 2400331856 in words is "two billion, four hundred million, three hundred thirty-one thousand, eight hundred fifty-six".