2465680795648 has 384 divisors, whose sum is σ = 6065055360000. Its totient is φ = 979657555968.

The previous prime is 2465680795637. The next prime is 2465680795649. The reversal of 2465680795648 is 8465970865642.

It is not an unprimeable number, because it can be changed into a prime (2465680795649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215218698 + ... + 1215220726.

It is an arithmetic number, because the mean of its divisors is an integer number (15794415000).

Almost surely, 2^{2465680795648} is an apocalyptic number.

2465680795648 is a gapful number since it is divisible by the number (28) 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 2465680795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032527680000).

2465680795648 is an abundant number, since it is smaller than the sum of its proper divisors (3599374564352).

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

2465680795648 is a wasteful number, since it uses less digits than its factorization.

2465680795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 70.

The spelling of 2465680795648 in words is "two trillion, four hundred sixty-five billion, six hundred eighty million, seven hundred ninety-five thousand, six hundred forty-eight".