2082956960 has 192 divisors, whose sum is σ = 6148638720. Its totient is φ = 650280960.

The previous prime is 2082956959. The next prime is 2082956963. The reversal of 2082956960 is 696592802.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 588476 + ... + 592004.

It is an arithmetic number, because the mean of its divisors is an integer number (32024160).

Almost surely, 2^2082956960 is an apocalyptic number.

2082956960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074319360).

2082956960 is an abundant number, since it is smaller than the sum of its proper divisors (4065681760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2082956960 is a wasteful number, since it uses less digits than its factorization.

2082956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 2082956960 is about 45639.4233092400. The cubic root of 2082956960 is about 1277.1054711077.

The spelling of 2082956960 in words is "two billion, eighty-two million, nine hundred fifty-six thousand, nine hundred sixty".