2671961607 has 32 divisors (see below), whose sum is σ = 4533327360. Its totient is φ = 1523672640.

The previous prime is 2671961599. The next prime is 2671961683. The reversal of 2671961607 is 7061691762.

It is a happy number.

2671961607 is a `hidden beast` number, since 26 + 7 + 1 + 9 + 616 + 0 + 7 = 666.

2671961607 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2671961607 - 2³ = 2671961599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671961107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78403 + ... + 107195.

It is an arithmetic number, because the mean of its divisors is an integer number (141666480).

Almost surely, 2^2671961607 is an apocalyptic number.

2671961607 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2671961607 is a deficient number, since it is larger than the sum of its proper divisors (1861365753).

2671961607 is a wasteful number, since it uses less digits than its factorization.

2671961607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29300 (or 29294 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2671961607 is about 51691.0205645042. The cubic root of 2671961607 is about 1387.6397685351.

The spelling of 2671961607 in words is "two billion, six hundred seventy-one million, nine hundred sixty-one thousand, six hundred seven".