2117249777 has 16 divisors (see below), whose sum is σ = 2240090640. Its totient is φ = 1998028032.

The previous prime is 2117249741. The next prime is 2117249789. The reversal of 2117249777 is 7779427112.

It can be written as a sum of positive squares in 8 ways, for example, as 1157776 + 2116092001 = 1076^2 + 46001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117249777 - 2¹⁰ = 2117248753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2117249737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423263 + ... + 428235.

It is an arithmetic number, because the mean of its divisors is an integer number (140005665).

Almost surely, 2^2117249777 is an apocalyptic number.

It is an amenable number.

2117249777 is a deficient number, since it is larger than the sum of its proper divisors (122840863).

2117249777 is a wasteful number, since it uses less digits than its factorization.

2117249777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332.

The product of its digits is 345744, while the sum is 47.

The square root of 2117249777 is about 46013.5825273364. The cubic root of 2117249777 is about 1284.0759104796.

The spelling of 2117249777 in words is "two billion, one hundred seventeen million, two hundred forty-nine thousand, seven hundred seventy-seven".