2468789487360 has 1728 divisors, whose sum is σ = 10605263585280. Its totient is φ = 538014597120.

The previous prime is 2468789487343. The next prime is 2468789487379. The reversal of 2468789487360 is 637849878642.

2468789487360 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 7 + 89 + 487 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5332158489 + ... + 5332158951.

Almost surely, 2^{2468789487360} is an apocalyptic number.

2468789487360 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 2468789487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302631792640).

2468789487360 is an abundant number, since it is smaller than the sum of its proper divisors (8136474097920).

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

2468789487360 is an equidigital number, since it uses as much as digits as its factorization.

2468789487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 2468789487360 in words is "two trillion, four hundred sixty-eight billion, seven hundred eighty-nine million, four hundred eighty-seven thousand, three hundred sixty".