2431872 has 48 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 810240.

The previous prime is 2431843. The next prime is 2431879. The reversal of 2431872 is 2781342.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (145860).

2^2431872 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 2431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640).

2431872 is an abundant number, since it is smaller than the sum of its proper divisors (4569408).

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

2431872 is a wasteful number, since it uses less digits than its factorization.

2431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2116 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2431872 is about 1559.4460554953. The cubic root of 2431872 is about 134.4766569496.

The spelling of 2431872 in words is "two million, four hundred thirty-one thousand, eight hundred seventy-two".