2464936596864 has 256 divisors, whose sum is σ = 8356490841600. Its totient is φ = 700691281920.

The previous prime is 2464936596853. The next prime is 2464936596893. The reversal of 2464936596864 is 4686956394642.

2464936596864 is a `hidden beast` number, since 2 + 4 + 6 + 493 + 6 + 59 + 6 + 86 + 4 = 666.

2464936596864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2464936596792 and 2464936596801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4507219 + ... + 5024429.

It is an arithmetic number, because the mean of its divisors is an integer number (32642542350).

Almost surely, 2^{2464936596864} is an apocalyptic number.

2464936596864 is a gapful number since it is divisible by the number (24) 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 2464936596864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178245420800).

2464936596864 is an abundant number, since it is smaller than the sum of its proper divisors (5891554244736).

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

2464936596864 is a wasteful number, since it uses less digits than its factorization.

2464936596864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517438 (or 517420 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 72.

The spelling of 2464936596864 in words is "two trillion, four hundred sixty-four billion, nine hundred thirty-six million, five hundred ninety-six thousand, eight hundred sixty-four".