2681582656 has 21 divisors (see below), whose sum is σ = 5322087781. Its totient is φ = 1340584192.

The previous prime is 2681582653. The next prime is 2681582663. The reversal of 2681582656 is 6562851862.

The square root of 2681582656 is 51784.

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

2681582656 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 only one way, i.e., 492840000 + 2188742656 = 22200^2 + 46784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2681582653) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 411036 + ... + 417508.

Almost surely, 2^2681582656 is an apocalyptic number.

2681582656 is the 51784-th square number.

It is an amenable number.

2681582656 is a deficient number, since it is larger than the sum of its proper divisors (2640505125).

2681582656 is an frugal number, since it uses more digits than its factorization.

2681582656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958 (or 6475 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

The cubic root of 2681582656 is about 1389.3032852289.

Multiplying 2681582656 by its sum of digits (49), we get a square (131397550144 = 362488²).

The spelling of 2681582656 in words is "two billion, six hundred eighty-one million, five hundred eighty-two thousand, six hundred fifty-six".