2465538547680 has 1728 divisors, whose sum is σ = 10251770780160. Its totient is φ = 533876023296.

The previous prime is 2465538547651. The next prime is 2465538547687. The reversal of 2465538547680 is 867458355642.

2465538547680 is a `hidden beast` number, since 2 + 4 + 6 + 5 + 5 + 3 + 8 + 547 + 6 + 80 = 666.

2465538547680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465538547687) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15126003279 + ... + 15126003441.

It is an arithmetic number, because the mean of its divisors is an integer number (5932737720).

Almost surely, 2^{2465538547680} is an apocalyptic number.

2465538547680 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 2465538547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125885390080).

2465538547680 is an abundant number, since it is smaller than the sum of its proper divisors (7786232232480).

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

2465538547680 is a wasteful number, since it uses less digits than its factorization.

2465538547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 2465538547680 in words is "two trillion, four hundred sixty-five billion, five hundred thirty-eight million, five hundred forty-seven thousand, six hundred eighty".