2464882349706 has 128 divisors (see below), whose sum is σ = 6411739699200. Its totient is φ = 687214886400.

The previous prime is 2464882349693. The next prime is 2464882349729. The reversal of 2464882349706 is 6079432884642.

2464882349706 is a `hidden beast` number, since 2 + 4 + 64 + 8 + 82 + 3 + 497 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17010810 + ... + 17155098.

It is an arithmetic number, because the mean of its divisors is an integer number (50091716400).

Almost surely, 2^{2464882349706} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464882349706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205869849600).

2464882349706 is an abundant number, since it is smaller than the sum of its proper divisors (3946857349494).

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

2464882349706 is a wasteful number, since it uses less digits than its factorization.

2464882349706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145401 (or 145395 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 2464882349706 in words is "two trillion, four hundred sixty-four billion, eight hundred eighty-two million, three hundred forty-nine thousand, seven hundred six".