2877968457 has 96 divisors (see below), whose sum is σ = 5313724416. Its totient is φ = 1460592000.

The previous prime is 2877968419. The next prime is 2877968459. The reversal of 2877968457 is 7548697782.

2877968457 is a `hidden beast` number, since 28 + 77 + 96 + 8 + 457 = 666.

It is not a de Polignac number, because 2877968457 - 2⁶ = 2877968393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2877968394 and 2877968403.

It is not an unprimeable number, because it can be changed into a prime (2877968459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2499832 + ... + 2500982.

It is an arithmetic number, because the mean of its divisors is an integer number (55351296).

Almost surely, 2^2877968457 is an apocalyptic number.

It is an amenable number.

2877968457 is a deficient number, since it is larger than the sum of its proper divisors (2435755959).

2877968457 is a wasteful number, since it uses less digits than its factorization.

2877968457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1288 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 2877968457 is about 53646.7003365538. The cubic root of 2877968457 is about 1422.4227069154.

The spelling of 2877968457 in words is "two billion, eight hundred seventy-seven million, nine hundred sixty-eight thousand, four hundred fifty-seven".