2979116257 has 8 divisors (see below), whose sum is σ = 3209759784. Its totient is φ = 2748684288.

The previous prime is 2979116237. The next prime is 2979116269. The reversal of 2979116257 is 7526119792.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89946256 + 2889170001 = 9484^2 + 53751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2979116257 - 2¹¹ = 2979114209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2979116257.

It is not an unprimeable number, because it can be changed into a prime (2979116237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23008 + ... + 80545.

It is an arithmetic number, because the mean of its divisors is an integer number (401219973).

Almost surely, 2^2979116257 is an apocalyptic number.

It is an amenable number.

2979116257 is a deficient number, since it is larger than the sum of its proper divisors (230643527).

2979116257 is a wasteful number, since it uses less digits than its factorization.

2979116257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105779.

The product of its digits is 476280, while the sum is 49.

The square root of 2979116257 is about 54581.2811960291. The cubic root of 2979116257 is about 1438.8951557690.

The spelling of 2979116257 in words is "two billion, nine hundred seventy-nine million, one hundred sixteen thousand, two hundred fifty-seven".