2882597960 has 64 divisors (see below), whose sum is σ = 7091712000. Its totient is φ = 1045811200.

The previous prime is 2882597959. The next prime is 2882597989. The reversal of 2882597960 is 697952882.

It is a junction number, because it is equal to n+sod(n) for n = 2882597896 and 2882597905.

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, 190265 + ... + 204855.

It is an arithmetic number, because the mean of its divisors is an integer number (110808000).

Almost surely, 2^2882597960 is an apocalyptic number.

2882597960 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 2882597960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545856000).

2882597960 is an abundant number, since it is smaller than the sum of its proper divisors (4209114040).

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

2882597960 is a wasteful number, since it uses less digits than its factorization.

2882597960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15062 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The square root of 2882597960 is about 53689.8310669721. The cubic root of 2882597960 is about 1423.1850018584.

The spelling of 2882597960 in words is "two billion, eight hundred eighty-two million, five hundred ninety-seven thousand, nine hundred sixty".