2135008967 has 64 divisors (see below), whose sum is σ = 2906480640. Its totient is φ = 1520985600.

The previous prime is 2135008961. The next prime is 2135008969. The reversal of 2135008967 is 7698005312.

It is a cyclic number.

It is not a de Polignac number, because 2135008967 - 2²⁰ = 2133960391 is a prime.

2135008967 is a modest number, since divided by 8967 gives 2135 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135008961) 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, 3269213 + ... + 3269865.

It is an arithmetic number, because the mean of its divisors is an integer number (45413760).

Almost surely, 2^2135008967 is an apocalyptic number.

2135008967 is a deficient number, since it is larger than the sum of its proper divisors (771471673).

2135008967 is a wasteful number, since it uses less digits than its factorization.

2135008967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 2135008967 is about 46206.1572412162. The cubic root of 2135008967 is about 1287.6561342933.

The spelling of 2135008967 in words is "two billion, one hundred thirty-five million, eight thousand, nine hundred sixty-seven".