2773440596160 has 1120 divisors, whose sum is σ = 11296066807872. Its totient is φ = 639876464640.

The previous prime is 2773440596159. The next prime is 2773440596203. The reversal of 2773440596160 is 616950443772.

2773440596160 is a `hidden beast` number, since 2 + 7 + 7 + 3 + 4 + 40 + 596 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2773440596097 and 2773440596106.

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, 1609657059 + ... + 1609658781.

Almost surely, 2^{2773440596160} is an apocalyptic number.

2773440596160 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 2773440596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648033403936).

2773440596160 is an abundant number, since it is smaller than the sum of its proper divisors (8522626211712).

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

2773440596160 is a wasteful number, since it uses less digits than its factorization.

2773440596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2773440596160 in words is "two trillion, seven hundred seventy-three billion, four hundred forty million, five hundred ninety-six thousand, one hundred sixty".