2431641120 has 192 divisors, whose sum is σ = 7906502016. Its totient is φ = 627793920.

The previous prime is 2431641101. The next prime is 2431641137. The reversal of 2431641120 is 211461342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3089367 + ... + 3090153.

It is an arithmetic number, because the mean of its divisors is an integer number (41179698).

Almost surely, 2^2431641120 is an apocalyptic number.

2431641120 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 2431641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953251008).

2431641120 is an abundant number, since it is smaller than the sum of its proper divisors (5474860896).

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

2431641120 is a wasteful number, since it uses less digits than its factorization.

2431641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2431641120 is about 49311.6732630317. The cubic root of 2431641120 is about 1344.7240111249.

The spelling of 2431641120 in words is "two billion, four hundred thirty-one million, six hundred forty-one thousand, one hundred twenty".