2432760960 has 256 divisors, whose sum is σ = 9149644800. Its totient is φ = 538030080.

The previous prime is 2432760943. The next prime is 2432761091. The reversal of 2432760960 is 690672342.

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, 413721 + ... + 419559.

It is an arithmetic number, because the mean of its divisors is an integer number (35740800).

Almost surely, 2^2432760960 is an apocalyptic number.

2432760960 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 2432760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574822400).

2432760960 is an abundant number, since it is smaller than the sum of its proper divisors (6716883840).

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

2432760960 is a wasteful number, since it uses less digits than its factorization.

2432760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2432760960 is about 49323.0266711198. The cubic root of 2432760960 is about 1344.9304073480.

The spelling of 2432760960 in words is "two billion, four hundred thirty-two million, seven hundred sixty thousand, nine hundred sixty".