2605332830080 has 128 divisors (see below), whose sum is σ = 6244731352800. Its totient is φ = 1039399649280.

The previous prime is 2605332830063. The next prime is 2605332830083. The reversal of 2605332830080 is 800382335062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605332830083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 557526624 + ... + 557531296.

Almost surely, 2^{2605332830080} is an apocalyptic number.

2605332830080 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 2605332830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122365676400).

2605332830080 is an abundant number, since it is smaller than the sum of its proper divisors (3639398522720).

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

2605332830080 is a wasteful number, since it uses less digits than its factorization.

2605332830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2605332830080 in words is "two trillion, six hundred five billion, three hundred thirty-two million, eight hundred thirty thousand, eighty".