2140459706961 has 45 divisors (see below), whose sum is σ = 3222033728683. Its totient is φ = 1416096965520.

The previous prime is 2140459706939. The next prime is 2140459706981. The reversal of 2140459706961 is 1696079540412.

The square root of 2140459706961 is 1463031.

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

2140459706961 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 459 + 70 + 69 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 250769591361 + 1889690115600 = 500769^2 + 1374660^2 .

It is not a de Polignac number, because 2140459706961 - 2¹⁵ = 2140459674193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2140459706898 and 2140459706907.

It is not an unprimeable number, because it can be changed into a prime (2140459706981) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1961924026 + ... + 1961925116.

Almost surely, 2^{2140459706961} is an apocalyptic number.

2140459706961 is the 1463031-st square number.

2140459706961 is the 731516-th centered octagonal number.

It is an amenable number.

2140459706961 is a deficient number, since it is larger than the sum of its proper divisors (1081574021722).

2140459706961 is an frugal number, since it uses more digits than its factorization.

2140459706961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2140459706961 in words is "two trillion, one hundred forty billion, four hundred fifty-nine million, seven hundred six thousand, nine hundred sixty-one".