2605122017280 has 1152 divisors, whose sum is σ = 10017200793600. Its totient is φ = 641771569152.

The previous prime is 2605122017231. The next prime is 2605122017297. The reversal of 2605122017280 is 827102215062.

It is a happy number.

2605122017280 is a `hidden beast` number, since 2 + 60 + 512 + 2 + 0 + 1 + 7 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4291798737 + ... + 4291799343.

It is an arithmetic number, because the mean of its divisors is an integer number (8695486800).

Almost surely, 2^{2605122017280} is an apocalyptic number.

2605122017280 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 2605122017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008600396800).

2605122017280 is an abundant number, since it is smaller than the sum of its proper divisors (7412078776320).

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

2605122017280 is a wasteful number, since it uses less digits than its factorization.

2605122017280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2605122017280 in words is "two trillion, six hundred five billion, one hundred twenty-two million, seventeen thousand, two hundred eighty".