2620895287680 has 1024 divisors, whose sum is σ = 10191826944000. Its totient is φ = 633665617920.

The previous prime is 2620895287613. The next prime is 2620895287739. The reversal of 2620895287680 is 867825980262.

2620895287680 is a `hidden beast` number, since 2 + 6 + 20 + 8 + 9 + 528 + 7 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2522516601 + ... + 2522517639.

It is an arithmetic number, because the mean of its divisors is an integer number (9952956000).

Almost surely, 2^{2620895287680} is an apocalyptic number.

2620895287680 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 2620895287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095913472000).

2620895287680 is an abundant number, since it is smaller than the sum of its proper divisors (7570931656320).

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

2620895287680 is a wasteful number, since it uses less digits than its factorization.

2620895287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2620895287680 in words is "two trillion, six hundred twenty billion, eight hundred ninety-five million, two hundred eighty-seven thousand, six hundred eighty".