2882582976 has 420 divisors, whose sum is σ = 9894902232. Its totient is φ = 739694592.

The previous prime is 2882582933. The next prime is 2882582981. The reversal of 2882582976 is 6792852882.

It is a super-2 number, since 2×2882582976² = 16618569227050033152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77907630 + ... + 77907666.

Almost surely, 2^2882582976 is an apocalyptic number.

2882582976 is a gapful number since it is divisible by the number (26) 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 2882582976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947451116).

2882582976 is an abundant number, since it is smaller than the sum of its proper divisors (7012319256).

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

2882582976 is an equidigital number, since it uses as much as digits as its factorization.

2882582976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The square root of 2882582976 is about 53689.6915245376. The cubic root of 2882582976 is about 1423.1825359068.

The spelling of 2882582976 in words is "two billion, eight hundred eighty-two million, five hundred eighty-two thousand, nine hundred seventy-six".