2600288865720 has 768 divisors, whose sum is σ = 10875145881600. Its totient is φ = 523726663680.

The previous prime is 2600288865719. The next prime is 2600288865731. The reversal of 2600288865720 is 275688820062.

2600288865720 is a `hidden beast` number, since 2 + 60 + 0 + 2 + 8 + 8 + 8 + 6 + 572 + 0 = 666.

It is a super-2 number, since 2×2600288865720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407629491 + ... + 407635869.

It is an arithmetic number, because the mean of its divisors is an integer number (14160346200).

Almost surely, 2^{2600288865720} is an apocalyptic number.

2600288865720 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 2600288865720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437572940800).

2600288865720 is an abundant number, since it is smaller than the sum of its proper divisors (8274857015880).

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

2600288865720 is a wasteful number, since it uses less digits than its factorization.

2600288865720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2600288865720 in words is "two trillion, six hundred billion, two hundred eighty-eight million, eight hundred sixty-five thousand, seven hundred twenty".