2431920960 has 504 divisors, whose sum is σ = 10253898720. Its totient is φ = 526030848.

The previous prime is 2431920923. The next prime is 2431920973. The reversal of 2431920960 is 690291342.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2680827 + ... + 2681733.

Almost surely, 2^2431920960 is an apocalyptic number.

2431920960 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 2431920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126949360).

2431920960 is an abundant number, since it is smaller than the sum of its proper divisors (7821977760).

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

2431920960 is a wasteful number, since it uses less digits than its factorization.

2431920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2431920960 is about 49314.5106434202. The cubic root of 2431920960 is about 1344.7755940017.

The spelling of 2431920960 in words is "two billion, four hundred thirty-one million, nine hundred twenty thousand, nine hundred sixty".