2671287957 has 64 divisors (see below), whose sum is σ = 4513017600. Its totient is φ = 1548046080.

The previous prime is 2671287937. The next prime is 2671287959. The reversal of 2671287957 is 7597821762.

It is a happy number.

It is not a de Polignac number, because 2671287957 - 2¹¹ = 2671285909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671287959) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205983 + ... + 1208195.

It is an arithmetic number, because the mean of its divisors is an integer number (70515900).

Almost surely, 2^2671287957 is an apocalyptic number.

2671287957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2671287957 is a deficient number, since it is larger than the sum of its proper divisors (1841729643).

2671287957 is a wasteful number, since it uses less digits than its factorization.

2671287957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The square root of 2671287957 is about 51684.5040316728. The cubic root of 2671287957 is about 1387.5231423459.

The spelling of 2671287957 in words is "two billion, six hundred seventy-one million, two hundred eighty-seven thousand, nine hundred fifty-seven".