2773852231680 has 1728 divisors, whose sum is σ = 10967747263200. Its totient is φ = 670771445760.

The previous prime is 2773852231651. The next prime is 2773852231681. The reversal of 2773852231680 is 861322583772.

2773852231680 is a `hidden beast` number, since 2 + 7 + 7 + 3 + 8 + 522 + 31 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2773852231680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2773852231681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52336834534 + ... + 52336834586.

Almost surely, 2^{2773852231680} is an apocalyptic number.

2773852231680 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 2773852231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483873631600).

2773852231680 is an abundant number, since it is smaller than the sum of its proper divisors (8193895031520).

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

2773852231680 is an frugal number, since it uses more digits than its factorization.

2773852231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2773852231680 in words is "two trillion, seven hundred seventy-three billion, eight hundred fifty-two million, two hundred thirty-one thousand, six hundred eighty".