2605745040960 has 448 divisors, whose sum is σ = 8759981260800. Its totient is φ = 654430003200.

The previous prime is 2605745040953. The next prime is 2605745040971. The reversal of 2605745040960 is 690405475062.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3624123481 + ... + 3624124199.

It is an arithmetic number, because the mean of its divisors is an integer number (19553529600).

Almost surely, 2^{2605745040960} is an apocalyptic number.

2605745040960 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 2605745040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379990630400).

2605745040960 is an abundant number, since it is smaller than the sum of its proper divisors (6154236219840).

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

2605745040960 is a wasteful number, since it uses less digits than its factorization.

2605745040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 2605745040960 in words is "two trillion, six hundred five billion, seven hundred forty-five million, forty thousand, nine hundred sixty".