2082956961 has 16 divisors (see below), whose sum is σ = 2849265216. Its totient is φ = 1353102336.

The previous prime is 2082956959. The next prime is 2082956963. The reversal of 2082956961 is 1696592802.

It is an interprime number because it is at equal distance from previous prime (2082956959) and next prime (2082956963).

It is not a de Polignac number, because 2082956961 - 2¹ = 2082956959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2082956961.

It is not an unprimeable number, because it can be changed into a prime (2082956963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39120 + ... + 75473.

It is an arithmetic number, because the mean of its divisors is an integer number (178079076).

Almost surely, 2^2082956961 is an apocalyptic number.

It is an amenable number.

2082956961 is a deficient number, since it is larger than the sum of its proper divisors (766308255).

2082956961 is a wasteful number, since it uses less digits than its factorization.

2082956961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114752.

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 2082956961 is about 45639.4233201954. The cubic root of 2082956961 is about 1277.1054713121.

The spelling of 2082956961 in words is "two billion, eighty-two million, nine hundred fifty-six thousand, nine hundred sixty-one".