2146240071261 has 192 divisors, whose sum is σ = 3856948752384. Its totient is φ = 1131538636800.

The previous prime is 2146240071259. The next prime is 2146240071289. The reversal of 2146240071261 is 1621700426412.

2146240071261 is a `hidden beast` number, since 2 + 1 + 4 + 624 + 0 + 0 + 7 + 1 + 26 + 1 = 666.

It is not a de Polignac number, because 2146240071261 - 2¹ = 2146240071259 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146240071161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 611288496 + ... + 611292006.

It is an arithmetic number, because the mean of its divisors is an integer number (20088274752).

Almost surely, 2^{2146240071261} is an apocalyptic number.

It is an amenable number.

2146240071261 is a deficient number, since it is larger than the sum of its proper divisors (1710708681123).

2146240071261 is a wasteful number, since it uses less digits than its factorization.

2146240071261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 2146240071261 its reverse (1621700426412), we get a palindrome (3767940497673).

The spelling of 2146240071261 in words is "two trillion, one hundred forty-six billion, two hundred forty million, seventy-one thousand, two hundred sixty-one".