2562835984996 has 81 divisors (see below), whose sum is σ = 5349472342347. Its totient is φ = 1071184840320.

The previous prime is 2562835984993. The next prime is 2562835985041. The reversal of 2562835984996 is 6994895382652.

The square root of 2562835984996 is 1600886.

It is a perfect power (a square), and thus also a powerful number.

2562835984996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 453486415396 + 2109349569600 = 673414^2 + 1452360^2 .

It is not an unprimeable number, because it can be changed into a prime (2562835984993) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 918907170 + ... + 918909958.

Almost surely, 2^{2562835984996} is an apocalyptic number.

2562835984996 is the 1600886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2562835984996

2562835984996 is an abundant number, since it is smaller than the sum of its proper divisors (2786636357351).

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

2562835984996 is an frugal number, since it uses more digits than its factorization.

2562835984996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 2839 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 76.

The spelling of 2562835984996 in words is "two trillion, five hundred sixty-two billion, eight hundred thirty-five million, nine hundred eighty-four thousand, nine hundred ninety-six".