2190752254161 has 81 divisors (see below), whose sum is σ = 3494348250939. Its totient is φ = 1322302791744.

The previous prime is 2190752254151. The next prime is 2190752254181. The reversal of 2190752254161 is 1614522570912.

The square root of 2190752254161 is 1480119.

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

2190752254161 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 7 + 5 + 225 + 416 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 186036079761 + 2004716174400 = 431319^2 + 1415880^2 .

It is not a de Polignac number, because 2190752254161 - 2⁵ = 2190752254129 is a prime.

It is a super-2 number, since 2×2190752254161² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2190752254111) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1940435445 + ... + 1940436573.

Almost surely, 2^{2190752254161} is an apocalyptic number.

2190752254161 is the 1480119-th square number.

2190752254161 is the 740060-th centered octagonal number.

It is an amenable number.

2190752254161 is a deficient number, since it is larger than the sum of its proper divisors (1303595996778).

2190752254161 is an equidigital number, since it uses as much as digits as its factorization.

2190752254161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2190752254161 in words is "two trillion, one hundred ninety billion, seven hundred fifty-two million, two hundred fifty-four thousand, one hundred sixty-one".