2468813884992 has 896 divisors, whose sum is σ = 9556711879680. Its totient is φ = 606433443840.

The previous prime is 2468813884991. The next prime is 2468813885063. The reversal of 2468813884992 is 2994883188642.

2468813884992 is a `hidden beast` number, since 2 + 46 + 8 + 8 + 13 + 88 + 499 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2468813884992.

It is not an unprimeable number, because it can be changed into a prime (2468813884991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259297192 + ... + 259306712.

It is an arithmetic number, because the mean of its divisors is an integer number (10665973080).

Almost surely, 2^{2468813884992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468813884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778355939840).

2468813884992 is an abundant number, since it is smaller than the sum of its proper divisors (7087897994688).

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

2468813884992 is a wasteful number, since it uses less digits than its factorization.

2468813884992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9676 (or 9660 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

The spelling of 2468813884992 in words is "two trillion, four hundred sixty-eight billion, eight hundred thirteen million, eight hundred eighty-four thousand, nine hundred ninety-two".