2431925820 has 216 divisors, whose sum is σ = 8080620912. Its totient is φ = 589962240.

The previous prime is 2431925807. The next prime is 2431925827. The reversal of 2431925820 is 285291342.

It is a happy number.

2431925820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431925827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2940247 + ... + 2941073.

It is an arithmetic number, because the mean of its divisors is an integer number (37410282).

Almost surely, 2^2431925820 is an apocalyptic number.

2431925820 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 2431925820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040310456).

2431925820 is an abundant number, since it is smaller than the sum of its proper divisors (5648695092).

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

2431925820 is a wasteful number, since it uses less digits than its factorization.

2431925820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2431925820 is about 49314.5599189529. The cubic root of 2431925820 is about 1344.7764898100.

The spelling of 2431925820 in words is "two billion, four hundred thirty-one million, nine hundred twenty-five thousand, eight hundred twenty".