2117761407 has 12 divisors (see below), whose sum is σ = 3065545080. Its totient is φ = 1408814928.

The previous prime is 2117761403. The next prime is 2117761421. The reversal of 2117761407 is 7041677112.

2117761407 is a `hidden beast` number, since 21 + 17 + 7 + 614 + 0 + 7 = 666.

It is not a de Polignac number, because 2117761407 - 2² = 2117761403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117761403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247732 + ... + 256137.

It is an arithmetic number, because the mean of its divisors is an integer number (255462090).

Almost surely, 2^2117761407 is an apocalyptic number.

2117761407 is a deficient number, since it is larger than the sum of its proper divisors (947783673).

2117761407 is a wasteful number, since it uses less digits than its factorization.

2117761407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504342 (or 504339 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 2117761407 is about 46019.1417455823. The cubic root of 2117761407 is about 1284.1793337748.

The spelling of 2117761407 in words is "two billion, one hundred seventeen million, seven hundred sixty-one thousand, four hundred seven".