2082830976 has 128 divisors (see below), whose sum is σ = 6345868800. Its totient is φ = 671846400.

The previous prime is 2082830957. The next prime is 2082830993. The reversal of 2082830976 is 6790382802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2082830976² = 8676369749170225152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97416 + ... + 116856.

It is an arithmetic number, because the mean of its divisors is an integer number (49577100).

Almost surely, 2^2082830976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172934400).

2082830976 is an abundant number, since it is smaller than the sum of its proper divisors (4263037824).

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

2082830976 is a wasteful number, since it uses less digits than its factorization.

2082830976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19477 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2082830976 is about 45638.0430781163. The cubic root of 2082830976 is about 1277.0797227601.

The spelling of 2082830976 in words is "two billion, eighty-two million, eight hundred thirty thousand, nine hundred seventy-six".