2412408960 has 256 divisors, whose sum is σ = 9202032000. Its totient is φ = 593768448.

The previous prime is 2412408959. The next prime is 2412409033. The reversal of 2412408960 is 698042142.

2412408960 is a `hidden beast` number, since 241 + 2 + 408 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219271 + ... + 230009.

Almost surely, 2^2412408960 is an apocalyptic number.

2412408960 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 2412408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601016000).

2412408960 is an abundant number, since it is smaller than the sum of its proper divisors (6789623040).

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

2412408960 is a wasteful number, since it uses less digits than its factorization.

2412408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2412408960 is about 49116.2799894292. The cubic root of 2412408960 is about 1341.1694254152.

The spelling of 2412408960 in words is "two billion, four hundred twelve million, four hundred eight thousand, nine hundred sixty".