2125584967 has 36 divisors (see below), whose sum is σ = 2533317768. Its totient is φ = 1768413600.

The previous prime is 2125584949. The next prime is 2125585001. The reversal of 2125584967 is 7694855212.

It is a de Polignac number, because none of the positive numbers 2^k-2125584967 is a prime.

It is a super-2 number, since 2×2125584967² = 9036222903872782178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2125584967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125587967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3815853 + ... + 3816409.

It is an arithmetic number, because the mean of its divisors is an integer number (70369938).

Almost surely, 2^2125584967 is an apocalyptic number.

2125584967 is a deficient number, since it is larger than the sum of its proper divisors (407732801).

2125584967 is a wasteful number, since it uses less digits than its factorization.

2125584967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 618 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The square root of 2125584967 is about 46104.0667078296. The cubic root of 2125584967 is about 1285.7587543003.

The spelling of 2125584967 in words is "two billion, one hundred twenty-five million, five hundred eighty-four thousand, nine hundred sixty-seven".