2427304960 has 176 divisors, whose sum is σ = 6173620992. Its totient is φ = 914227200.

The previous prime is 2427304949. The next prime is 2427304961. The reversal of 2427304960 is 694037242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427304961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6507334 + ... + 6507706.

It is an arithmetic number, because the mean of its divisors is an integer number (35077392).

Almost surely, 2^2427304960 is an apocalyptic number.

2427304960 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 2427304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086810496).

2427304960 is an abundant number, since it is smaller than the sum of its proper divisors (3746316032).

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

2427304960 is a wasteful number, since it uses less digits than its factorization.

2427304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 2427304960 is about 49267.6867733812. The cubic root of 2427304960 is about 1343.9242209731.

The spelling of 2427304960 in words is "two billion, four hundred twenty-seven million, three hundred four thousand, nine hundred sixty".