2677056334960 has 320 divisors, whose sum is σ = 7558551936000. Its totient is φ = 861345792000.

The previous prime is 2677056334951. The next prime is 2677056334963. The reversal of 2677056334960 is 694336507762.

It is a junction number, because it is equal to n+sod(n) for n = 2677056334895 and 2677056334904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677056334963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635727255 + ... + 635731465.

It is an arithmetic number, because the mean of its divisors is an integer number (23620474800).

Almost surely, 2^{2677056334960} is an apocalyptic number.

2677056334960 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 2677056334960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779275968000).

2677056334960 is an abundant number, since it is smaller than the sum of its proper divisors (4881495601040).

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

2677056334960 is a wasteful number, since it uses less digits than its factorization.

2677056334960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 58.

The spelling of 2677056334960 in words is "two trillion, six hundred seventy-seven billion, fifty-six million, three hundred thirty-four thousand, nine hundred sixty".