2465318338560 has 768 divisors, whose sum is σ = 10655626101120. Its totient is φ = 512250347520.

The previous prime is 2465318338547. The next prime is 2465318338601. The reversal of 2465318338560 is 658338135642.

2465318338560 is a `hidden beast` number, since 2 + 4 + 65 + 3 + 18 + 3 + 3 + 8 + 560 = 666.

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

It is a super-4 number, since 4×2465318338560⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2465318338497 and 2465318338506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113530264 + ... + 113551976.

Almost surely, 2^{2465318338560} is an apocalyptic number.

2465318338560 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 2465318338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327813050560).

2465318338560 is an abundant number, since it is smaller than the sum of its proper divisors (8190307762560).

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

2465318338560 is a wasteful number, since it uses less digits than its factorization.

2465318338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21772 (or 21741 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2465318338560 in words is "two trillion, four hundred sixty-five billion, three hundred eighteen million, three hundred thirty-eight thousand, five hundred sixty".