2830976 has 32 divisors (see below), whose sum is σ = 5976180. Its totient is φ = 1331200.

The previous prime is 2830973. The next prime is 2830979. The reversal of 2830976 is 6790382.

It is an interprime number because it is at equal distance from previous prime (2830973) and next prime (2830979).

It can be written as a sum of positive squares in 2 ways, for example, as 2689600 + 141376 = 1640^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2830976² = 16028850225152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2830973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1526 + ... + 2826.

2^2830976 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 2830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988090).

2830976 is an abundant number, since it is smaller than the sum of its proper divisors (3145204).

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

2830976 is a wasteful number, since it uses less digits than its factorization.

2830976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2830976 is about 1682.5504450090. The cubic root of 2830976 is about 141.4638247371.

The spelling of 2830976 in words is "two million, eight hundred thirty thousand, nine hundred seventy-six".