2431439920 has 80 divisors (see below), whose sum is σ = 6957679680. Its totient is φ = 769508352.

The previous prime is 2431439911. The next prime is 2431439921. The reversal of 2431439920 is 299341342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2431439920.

It is not an unprimeable number, because it can be changed into a prime (2431439921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 159715 + ... + 174274.

It is an arithmetic number, because the mean of its divisors is an integer number (86970996).

Almost surely, 2^2431439920 is an apocalyptic number.

2431439920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431439920 is an abundant number, since it is smaller than the sum of its proper divisors (4526239760).

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

2431439920 is a wasteful number, since it uses less digits than its factorization.

2431439920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334022 (or 334016 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 2431439920 is about 49309.6331359299. The cubic root of 2431439920 is about 1344.6869215051.

The spelling of 2431439920 in words is "two billion, four hundred thirty-one million, four hundred thirty-nine thousand, nine hundred twenty".