2408619468960 has 384 divisors, whose sum is σ = 8548941139200. Its totient is φ = 633312276480.

The previous prime is 2408619468947. The next prime is 2408619468967. The reversal of 2408619468960 is 698649168042.

2408619468960 is a `hidden beast` number, since 2 + 4 + 0 + 8 + 619 + 4 + 6 + 8 + 9 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2408619468967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88835886 + ... + 88862994.

It is an arithmetic number, because the mean of its divisors is an integer number (22262867550).

Almost surely, 2^{2408619468960} is an apocalyptic number.

2408619468960 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 2408619468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274470569600).

2408619468960 is an abundant number, since it is smaller than the sum of its proper divisors (6140321670240).

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

2408619468960 is a wasteful number, since it uses less digits than its factorization.

2408619468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27421 (or 27407 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 2408619468960 in words is "two trillion, four hundred eight billion, six hundred nineteen million, four hundred sixty-eight thousand, nine hundred sixty".