2468884915728 has 1200 divisors, whose sum is σ = 9336216193920. Its totient is φ = 616023429120.

The previous prime is 2468884915709. The next prime is 2468884915741. The reversal of 2468884915728 is 8275194888642.

2468884915728 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 8 + 8 + 49 + 1 + 572 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3614765275 + ... + 3614765957.

Almost surely, 2^{2468884915728} is an apocalyptic number.

2468884915728 is a gapful number since it is divisible by the number (28) 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 2468884915728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668108096960).

2468884915728 is an abundant number, since it is smaller than the sum of its proper divisors (6867331278192).

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

2468884915728 is a wasteful number, since it uses less digits than its factorization.

2468884915728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 832 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 2468884915728 in words is "two trillion, four hundred sixty-eight billion, eight hundred eighty-four million, nine hundred fifteen thousand, seven hundred twenty-eight".