2464806328320 has 768 divisors, whose sum is σ = 9385139312640. Its totient is φ = 540514713600.

The previous prime is 2464806328307. The next prime is 2464806328349. The reversal of 2464806328320 is 238236084642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2464806328320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2464806328320.

It is a congruent number.

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, 537812749 + ... + 537817331.

It is an arithmetic number, because the mean of its divisors is an integer number (12220233480).

Almost surely, 2^{2464806328320} is an apocalyptic number.

2464806328320 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 2464806328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692569656320).

2464806328320 is an abundant number, since it is smaller than the sum of its proper divisors (6920332984320).

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

2464806328320 is a wasteful number, since it uses less digits than its factorization.

2464806328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 2464806328320 in words is "two trillion, four hundred sixty-four billion, eight hundred six million, three hundred twenty-eight thousand, three hundred twenty".