2684249052576 has 192 divisors, whose sum is σ = 8708481331200. Its totient is φ = 704971201536.

The previous prime is 2684249052491. The next prime is 2684249052607. The reversal of 2684249052576 is 6752509424862.

It is a super-2 number, since 2×2684249052576² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445095 + ... + 2730713.

It is an arithmetic number, because the mean of its divisors is an integer number (45356673600).

Almost surely, 2^{2684249052576} is an apocalyptic number.

2684249052576 is a gapful number since it is divisible by the number (26) 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 2684249052576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354240665600).

2684249052576 is an abundant number, since it is smaller than the sum of its proper divisors (6024232278624).

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

2684249052576 is a wasteful number, since it uses less digits than its factorization.

2684249052576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285891 (or 1285883 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 2684249052576 in words is "two trillion, six hundred eighty-four billion, two hundred forty-nine million, fifty-two thousand, five hundred seventy-six".