2684089145761 has 27 divisors (see below), whose sum is σ = 2844968189529. Its totient is φ = 2532185846400.

The previous prime is 2684089145747. The next prime is 2684089145783. The reversal of 2684089145761 is 1675419804862.

The square root of 2684089145761 is 1638319.

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

It can be written as a sum of positive squares in 4 ways, for example, as 137256171361 + 2546832974400 = 370481^2 + 1595880^2 .

It is not a de Polignac number, because 2684089145761 - 2⁵ = 2684089145729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2684089145761.

It is not an unprimeable number, because it can be changed into a prime (2684089145711) 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, 2082302805 + ... + 2082304093.

Almost surely, 2^{2684089145761} is an apocalyptic number.

2684089145761 is the 1638319-th square number.

2684089145761 is the 819160-th centered octagonal number.

It is an amenable number.

2684089145761 is a deficient number, since it is larger than the sum of its proper divisors (160879043768).

2684089145761 is an frugal number, since it uses more digits than its factorization.

2684089145761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 2684089145761 in words is "two trillion, six hundred eighty-four billion, eighty-nine million, one hundred forty-five thousand, seven hundred sixty-one".