2771220703680 has 1120 divisors, whose sum is σ = 11755002631680. Its totient is φ = 610822840320.

The previous prime is 2771220703627. The next prime is 2771220703723. The reversal of 2771220703680 is 863070221772.

2771220703680 is a `hidden beast` number, since 2 + 77 + 12 + 207 + 0 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 248333941 + ... + 248345099.

It is an arithmetic number, because the mean of its divisors is an integer number (10495538064).

Almost surely, 2^{2771220703680} is an apocalyptic number.

2771220703680 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 2771220703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877501315840).

2771220703680 is an abundant number, since it is smaller than the sum of its proper divisors (8983781928000).

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

2771220703680 is a wasteful number, since it uses less digits than its factorization.

2771220703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 2771220703680 in words is "two trillion, seven hundred seventy-one billion, two hundred twenty million, seven hundred three thousand, six hundred eighty".